Ratio of 3 Numbers Calculator

Recall that ratios represent the quantitative relationship between two or more numbers, i.e., how many times one number is bigger/smaller than other numbers. In particular, the ratio A : B : C describes the ratio between the numbers A, B and C.

For example, if to bake a cake you need 100 g of butter, 200 g of sugar and 400 g of flour, then your ingredients are in ratio 100 : 200 : 400. You need two times more flour than sugar and two times more sugar than butter. And, obviously, four times more flour than butter. That is, our ratio can be equivalently written as 1 : 2 : 4. Here, we've simplified the ratio by dividing all three numbers by 100. On the other hand, to determine the amount of ingredients for two cakes, it's best to write our ratio as 200 : 400 : 800. That is, we've multiplied each element o the initial ratio by 2.

To simplify a ratio of three numbers A : B : C:

1. Write down the factors of A, of B, and of C.
2. Determine the greatest common factor (GCF) of A, B, and C.
3. Divide the three numbers in the ratio by the number from Step 2.

🙋 To learn more about finding the greatest common factor, visit the GCF calculator.

As you can see, it's quite easy to learn how to calculate ratio of 3 numbers by hand! You can always use our tool to verify your computations.

Our ratio of 3 numbers calculator features a lot of different options, but it's really easy to use!

1. Start by deciding what math operation you want to perform:
   • Simplify a ratio. This is the option you should choose to find the ratio of 3 numbers.
   • Transform to the specific form:
     • 1 : n : m;
     • n : 1 : m; or
     • n : m : 1.
   • Multiply/divide by a given number k.
   • Determine an equivalent ratio. You need to provide one number of the new ratio.
2. Input the initial ratio A : B : C and, if needed, provide the factor k or one of the numbers D, E or F.
3. Our tool will immediately perform the computations and show you the results. Enjoy!

With this tool, finding the ratio of 3 numbers will become a piece of cake!

If you want to dive deeper in the world of ratios, we recommend the following tools:

• Ratio calculator;
• Ratio of 2 numbers calculator;
• Simplify ratio calculator; and
• Equivalent ratio calculator.