Enter two different ratios to calculate the proportion of one ratio to another. This calculator solves for X of equal proportions.
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Proportion Formula
The following formula is used to calculate the missing value of a proportion.
X = Z/W * Y
- Where X is the missing value
- Z/W is the first proportion
- Y is the denominator of the second proportion
Proportion Definition
In simple terms, a proportion is a relationship between two different quantities. These quantities are typically represented as two different ratios.
These ratios comprise a numerator (top number) and a denominator (bottom number). This term is typically referred to as a fraction.
How to Calculate a Proportion
Let’s say you have 7 pieces of pie out of 12 total pieces. This ratio is 7/12. Now you look over and see your friend has 3 pieces of pie out of 12, which is a ratio of 3/12. Now you want to compare the proportion of your slices to his slices, or 7/12: 3/12.
The first step is to convert these to a solid integer proportion, you typically need to convert to the least common denominator and then you cross out the denominators and you have your proportion of 7/1: 3/1.
FAQ
A proportion is a term used to describe the ratio of fractions to one another.
A fraction is a ratio of one number to another, and a proportion is a ratio of fractions.