Ratio of 3 Numbers Calculator
Simplify any three-part ratio to its lowest terms, see the percentage breakdown, and scale the parts to a specific total. Perfect for mixing recipes, splitting costs, or solving math problems involving three quantities.
A three-part ratio like 2:3:5 describes how three quantities relate to each other. Simplifying a three-part ratio works the same way as a two-part ratio: divide all three parts by their greatest common divisor (GCD).
How to Simplify a Three-Part Ratio:
For the ratio 12:18:24, find the GCD of all three numbers. GCD(12, 18, 24) = 6. Divide each part by 6 to get 2:3:4.
Converting to Percentages:
Add all three parts together and divide each part by the total. For 2:3:5, the total is 10. The percentages are 20%, 30%, and 50%.
Scaling to a Total:
If a concrete mix ratio is 1:2:3 (cement:sand:gravel) and you need 600 kg total, each unit equals 600/6 = 100 kg. That gives you 100 kg cement, 200 kg sand, and 300 kg gravel.
Common Uses:
Three-part ratios appear in concrete mixing (1:2:4), color mixing (RGB values), investment allocation, and recipe scaling. Understanding how to work with them saves time and prevents errors.