Equivalent Ratio Calculator
Find equivalent ratios by scaling a ratio up or down. Enter your ratio and a multiplier or target value to instantly see equivalent ratios. Great for recipes, scale models, and math homework.
Two ratios are equivalent if they represent the same relationship between quantities. For example, 2:3 and 4:6 are equivalent because both simplify to the same proportion.
How Equivalent Ratios Work:
You create an equivalent ratio by multiplying (or dividing) both parts by the same number. Starting with 3:5, you can multiply both by 2 to get 6:10, or by 3 to get 9:15. All three ratios are equivalent.
Finding an Equivalent with a Target:
If you need the first value to equal a specific number, divide that target by the original first value to get the scale factor, then multiply both parts. For instance, to find the equivalent of 2:7 where the first value is 10: scale factor = 10/2 = 5, so the equivalent ratio is 10:35.
Where Equivalent Ratios Show Up:
Recipes are a perfect example. If a recipe calls for 2 cups of flour to 3 cups of sugar and you want to use 6 cups of flour, you need the equivalent ratio 6:9. Map scales, unit conversions, and proportion problems all rely on equivalent ratios.