Ratio & Proportion Formula

Mathematics & Education Formula • Published on July 30, 2026 • Last updated July 30, 2026

Mathematical Equation

$$\text{Share}_A = \text{Total} \times \left(\frac{A}{A + B + C}\right)$$

Variable Definitions

A, B, C

Individual ratio terms (e.g. 2:3:5)

Total

Grand total value to be distributed proportionally

Detailed Explanation

In-Depth Guide

Ratio and proportion formulas divide a total quantity into proportional parts based on specified ratio terms or test equality between two fractions (a/b = c/d).

How to Calculate: Step-by-Step

1. Add all ratio terms together to get the total parts sum (A + B + ...). 2. Divide each term by the sum of parts. 3. Multiply each fraction by the total quantity to calculate the exact share amount.

Worked Calculation Example

Divide $500 in ratio 2:3: - Total parts = 2 + 3 = 5. - Share A = 500 × (2/5) = $200. - Share B = 500 × (3/5) = $300.

Common Use Cases

  • Partnership profit sharing
  • Chemical ingredient mixing
  • Financial ratio analysis

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