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If you cross-multiply and you obtain an equality, then the proportion is true.

Example:

2/3 = 20/30 ? cross-multiply;

2 x 30 = 3 x 20 ?

60 = 60

Since we have an equality, the proportion is true.

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Q: How can you tell if a proportion is true?
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Related questions

How can you tell if a proportion is false?

Multiply the cross products, and see if they are equal. If they are equal, the proportion is true. If they are unequal, the proportion is false.


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You appear to be referring to the fact that if a/b = c/d then ad = bc. You know this is true because of the axioms of equality (If you do the same thing to both sides of an equation, then equality is maintained). a/b = c/d multiply by d ad/b = c multiply by b ad = bc If you wish to prove a specific proportion is true, you can test it with the equation ad = bc


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A true proportion is when two ratios are equal to one another. To prove this, you need to find the cross products of the ratios and see if they are equal. An example of a true proportion are the ratios 1/2 and 5/10, if you take the cross product the result is 2 x 5 = 1 x 10, which are equal.


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