Understanding Ratio and Proportion: Mathematics & Financial Uses
Last updated: 2026-09-11 • Editorial Staff
Ratios and proportions form the backbone of quantitative comparison. A ratio compares two or more relative quantities, while a proportion expresses an equality between two ratios.
Whether you are adjusting cooking recipes, determining financial leverage ratios, or dividing partner equity, understanding ratio scaling is an essential mathematical skill.
What Is a Ratio?
A ratio compares the relative sizes of two quantities. It is written using a colon (A:B), as a fraction (A/B), or with the word 'to'.
For example, a mixture containing 3 parts water and 1 part concentrate has a ratio of 3:1.
How to Simplify and Scale Ratios
To simplify a ratio, divide all numbers by their greatest common divisor (GCD). For example, 12:18 simplifies to 2:3 when both values are divided by 6.
To solve a proportion equation A/B = C/D, cross-multiply: A × D = B × C. If one value is unknown, solve for X = (B × C) ÷ A.
Written & Reviewed by Zovixia Editorial Team
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