Home Back

Alligation Ratio Calculator

Alligation Ratio Formula:

\[ \text{Alligation Ratio} = \frac{\text{High} - \text{Desired}}{\text{Desired} - \text{Low}} \]

%
%
%

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Alligation Ratio?

The alligation ratio is a mathematical method used to determine the proportional parts of different concentrations needed to achieve a desired intermediate concentration. It's commonly used in pharmacy, chemistry, and manufacturing.

2. How Does the Calculator Work?

The calculator uses the alligation ratio formula:

\[ \text{Alligation Ratio} = \frac{\text{High} - \text{Desired}}{\text{Desired} - \text{Low}} \]

Where:

Explanation: The ratio represents how many parts of the lower concentration solution should be mixed with one part of the higher concentration solution to achieve the desired concentration.

3. Importance of Alligation Ratio

Details: Alligation is crucial for preparing solutions of specific concentrations, especially in pharmaceutical compounding, chemical preparations, and industrial mixing applications.

4. Using the Calculator

Tips: Enter the high, desired, and low concentrations in percentage. All values must be valid (high > desired > low > 0).

5. Frequently Asked Questions (FAQ)

Q1: What if my desired concentration equals the low concentration?
A: The denominator becomes zero, making the ratio undefined. This means you should use only the low concentration solution.

Q2: Can this be used for non-percentage concentrations?
A: Yes, as long as all concentrations are in the same units (mg/mL, g/L, etc.), the ratio calculation remains valid.

Q3: How do I interpret the ratio result?
A: The ratio tells you how many parts of the lower concentration to mix with one part of the higher concentration.

Q4: What if my desired concentration is outside the range?
A: The alligation method only works for desired concentrations between the high and low values you're mixing.

Q5: Can this be extended to more than two components?
A: Yes, but requires more complex calculations involving multiple alligation steps.

Alligation Ratio Calculator© - All Rights Reserved 2025