1. What is a Ratio of Three Numbers?

A ratio of three numbers compares the relative sizes of three quantities. It shows the proportional relationship between them in the simplest whole number form.

2. How Does the Calculator Work?

The calculator uses the ratio formula:

Where:

• \( a \) — First number
• \( b \) — Second number
• \( c \) — Third number

Explanation: The calculator finds the greatest common divisor (GCD) of the three numbers and divides each by it to simplify the ratio to its smallest whole number form.

3. Importance of Ratio Calculation

Details: Ratios are fundamental in mathematics, science, engineering, and finance. They help compare quantities, mix ingredients, analyze proportions, and understand relationships between variables.

4. Using the Calculator

Tips: Enter three positive numbers. The calculator will output the simplified ratio in the form a:b:c where a, b, and c are whole numbers with no common factors.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero or negative numbers?
A: The calculator only accepts positive numbers since ratios are defined for positive quantities.

Q2: How precise are the results?
A: Results are rounded to two decimal places for simplicity.

Q3: Can I use decimals?
A: Yes, the calculator accepts decimal numbers and will calculate the ratio accordingly.

Q4: What's the difference between ratio and proportion?
A: A ratio compares quantities, while a proportion states that two ratios are equal.

Q5: Where are three-number ratios commonly used?
A: In color models (RGB), chemical formulas, financial analysis, and mixing compounds with three components.