Alligation Calculator

Blend two strengths to a target strength with the alligation method: parts of each and quantities for any total.

100% FreeNo sign-upPrivate — runs in your browser
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Result

Mixing ratio
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Stronger part quantity
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Weaker part quantity
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Parts
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How to use this tool

1
Enter the stronger strength

Enter the higher concentration.

2
Enter the weaker strength

Enter the lower concentration.

3
Enter target and total

Enter the target strength and the total quantity wanted.

4
Read parts and quantities

Read the mixing ratio and the quantity of each ingredient.

Formula & worked example

Parts stronger = target – weaker. Parts weaker = stronger – target. Quantity of each = total x its parts / total parts.

Blending 90% and 10% solutions to 50% needs equal parts: 500 g of each for 1,000 g total.

Limitations — read this before you rely on it

Assumes linear, additive mixing of two ingredients only; it does not handle three-way blends or volume contraction on mixing.

Frequently asked questions

A classic pharmacy method for finding the proportions of two strengths that average to a target strength.

Each part count is the distance from the other strength to the target, which weights the average correctly.

Yes, for any consistent concentration units, such as mg/mL, as long as all three use the same units.

Then you need only that strength; the method requires a target strictly between the two.

Some mixtures contract or expand slightly; this method assumes additive quantities, which is fine for most pharmacy work.