✅ What This Calculator Is & Why It Matters

The Alligation Calculator uses the "Tic-Tac-Toe" alligation alternate method to determine the exact proportion of two different-strength solutions needed to mix together to achieve a specific target concentration.

Why does it matter? Alligation is a daily necessity in pharmacies, chemical manufacturing, and even brewing. If you have a 10% saline solution and a 50% saline solution, but the doctor orders a 20% solution, alligation gives you the exact volume ratio required to compound it safely and accurately.

✅ The Formula Explained Simply

Alligation alternate uses a matrix-style subtraction to find parts:

These "parts" represent the ratio of volumes needed.

✅ 3-5 Real-World Examples

Example 1: Pharmacy Compounding

Mix 90% ointment with 10% ointment to get a 30% target.
Result: |30 - 10| = 20 parts of 90%. |30 - 90| = 60 parts of 10%. Ratio is 20:60 (or 1 part to 3 parts).

Example 2: Diluting with Water

Dilute 70% alcohol down to 50% using pure water (0%).
Result: |50 - 0| = 50 parts of 70%. |50 - 70| = 20 parts of Water. Mix 5 parts alcohol to 2 parts water.

✅ FAQ Section (Google PAA Targeted)

✅ Pro-Tips for Alligation

• Pure Solvents: If you are diluting with pure water or base cream, the concentration of the "low" ingredient is exactly 0%.
• Target Check: Your target concentration MUST be physically between the high and low concentrations. You cannot mix 10% and 20% to get 30%.

✅ Related Calculators

✅ AI Explanation of Results

Our AI converts the abstract "parts" ratio into explicit, physical volumes (e.g., mL or Liters) based on your desired final batch size, preventing translation errors at the bench.