What This Calculator Does
The Three Numbers in a Ratio Calculator splits a single total amount into three shares according to a ratio a:b:c. Whether you are dividing profits between three business partners, splitting a bill, sharing an inheritance, or mixing ingredients, this tool gives you each part instantly and proportionally.
How to Use It
Enter the total amount you want to divide, then type the three ratio numbers (A, B and C). The calculator adds the ratio numbers together to get the total number of "shares", then allocates the amount in proportion. The three results always add back up to your original total.
The Formula Explained
Given a total T and ratio a:b:c, first compute the sum \(S = a + b + c\). Each part is then:
$$\text{Part A} = T \times \frac{a}{S}, \quad \text{Part B} = T \times \frac{b}{S}, \quad \text{Part C} = T \times \frac{c}{S}.$$Because the three fractions \(a/S\), \(b/S\) and \(c/S\) add up to 1, the three parts always recombine to \(T\).
Worked Example
Suppose you want to split $1,000 in the ratio 2:3:5. The sum is \(2 + 3 + 5 = 10\). So
$$\text{Part A} = 1000 \times \frac{2}{10} = 200, \quad \text{Part B} = 1000 \times \frac{3}{10} = 300, \quad \text{Part C} = 1000 \times \frac{5}{10} = 500.$$The three shares \((200 + 300 + 500)\) total 1,000, confirming the split.
FAQ
Can I use decimals in the ratio? Yes. Ratios like 1.5:2:0.5 work fine; the calculator divides by their sum.
What if I only need two parts? Set the third ratio number to 0 and that part will be zero, leaving the total split between the other two.
Do the parts always add up to the total? Yes, the proportional method guarantees the three parts sum exactly to the amount you entered (aside from tiny rounding in display).
