Ratio
Ratio for

Simplified Ratio :

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# 2 or 3 Numbers to Ratio Calculator

getcalc.com's Numbers to Ratio Calculator is an online basic math function tool to find the quantitative relationship or ratio between two or three given numbers or to reduce the ratio to its lowest terms. The corresponding calculator, formula and examples help students, teachers, parents or professionals to learn, teach or practice ratio calculations efficiently.

## What is Ratio?

Ratio is a basic mathematic function, represents the relative measure between 2 or more numbers. It's a a relationship between 2 or more numbers showing that how many times a first number is contained in the other numbers. The function GCD - Greatest Common Divisor is used to simplify the ratio to its lowest terms. The notation A : B : C represents the ratio between the numbers A, B and C. It's popularly used in investment, profit, loss, speed, distance, volume, density, etc. to measure the quantitative relationship between two or more quantities. Users may find the ratio between 2 or 3 numbers by using this numbers to ratio calculator.

## Formula

Below is the mathematical representation of ratio. The below formula is used in this numbers to ratio calculator to find the ratio between two or more numbers. Formula to find ratio or quantitative relationship between 2 or more numbers

### Ratio between Two Numbers?

The below solved example with step by step calculation help users to understand how to find the quantitative relationship or ratio between two given numbers.

Example Problem 1 :
A and B started a company by investing \$145,000 and \$135,000 respectively. At the end of year company earned the profit \$65,000. How much amount of profit would goes to A and B based on their investments?

Step by step workout:
step 1 Address the formula and input values
Formula :
Ratio = A/GCD : B/GCD
Profit Sharing for A = A/(A + B) x profit
Profit Sharing for B = B/(A + B) x profit
Input values
A = \$145,000
B = \$135,000
Profit = \$65,000

step 2 Find the GCD for both investments of A and B
5,000 is the Greatest Common Factor (GCD) for 145,000 and 135,000

step 3 Apply the parameters values in the Ratio formula
= 145000/5000 : 135000/5000
= 29 : 27

29 : 27 is the ratio between two numbers of A and B. It can be written as 29/27 in fraction form. Users may verify the results by using the above numbers to ratio calculator.

step 4 To calculate the profit sharing, find the sum of ratios
sum = 29 + 27
= 56

step 5 calculate the profit sharing for A
= (29/56) x 65000
= 33660.72

step 6 calculate the profit sharing for B
= (27/56) x 65000 or (65000 - 33660.72)
= 31,339.28

### Ratio between Three Numbers

The below solved example with step by step calculation help users to understand how to find the quantitative relationship or ratio between three given numbers.

Example :
A, B and C started a company by investing \$90,000, \$80,000 and \$70,000 respectively. At the end of year company earned the profit of \$72,000. How much amount of profit would goes to A, B and C based on their investments?

Step by step workout:
step 1 Address the formula and input values
Formula :
Ratio = A/GCD : B/GCD : C/GCD
Profit Sharing for A = A/(A + B + C) x profit
Profit Sharing for B = B/(A + B + C) x profit
Profit Sharing for C = B/(A + B + C) x profit
Input values :
A = \$90,000
B = \$80,000
C = \$70,000
Profit = \$72,000

step 2 Find the GCD for both investments of A, B and C
10000 is the Greatest Common Factor (GCD) for 90000, 80000 and 70000

step 3 Apply the parameters values in the Ratio formula
= 90000/10000 : 80000/10000 : 70000/10000
= 9 : 8 : 7

9 : 8 : 7 is the ratio for A, B and C

For Profit Sharing
step 4 To calculate the profit sharing, find the sum of ratios
sum = 9 + 8 + 7
= 24

step 5 calculate the profit sharing for A
= (9/24) x 72000
= 27000
27000 is the profit share for A

step 6 calculate the profit sharing for B
= (8/24) x 72000
= 24000
24000 is the profit share for B

step 7 calculate the profit sharing for C
= (7/24) x 72000
= 21000
21000 is the profit share for C

Users practicing with ratio calculations may use this solved examples and numbers to ratio calculator to learn and verify the results of workouts. 