Alligation Calculator: Mix Ratio and Volume Solver

Your details

The stronger of the two solutions, for example 20 for a 20% solution.
The weaker of the two solutions, for example 5 for a 5% solution.
The target concentration you want to achieve. Must be between the two component concentrations.
The total amount of final mixture you want to prepare. Leave this empty (or 0) to see only the ratio.
mL
All three concentrations must share the same unit.
Alligation ratio (C1 : C2)
0.000001 : 0.000002

Parts of the higher-concentration component to parts of the lower-concentration component

Volume of C1 (higher)33.33mL
Volume of C2 (lower)66.67mL
Final volume100mL
% contribution of C133.3%
% contribution of C266.7%
High-side parts5
Low-side parts10
C1 (higher)33.3
C2 (lower)66.7

Alligation ratio: 0.000001 : 0.000002

  • Mix 33.3% of the 20% solution with 66.7% of the 5% solution to reach 10%.
  • For 100 mL final volume: measure 33.33 mL of the stronger solution and 66.67 mL of the weaker solution.
  • The desired concentration is closer to the lower end, so more of the weaker component is used.
  • Always verify the final concentration with a refractometer, titration, or assay before clinical or industrial use.

Next stepWeigh or measure each component separately, combine in a clean vessel, mix thoroughly, and label with the final concentration and preparation date.

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