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Proportions

Lecture




Proportion is the equality of two relationships.

Consider two equal relationships:

  Proportions

Combining them with the equal sign, we get the proportion.

  Proportions

In proportion distinguish extreme and average members .

  Proportions
  • 8 and 5 are called extreme members.
  • 4 and 10 are middle members.

The main property of proportion

If the proportion is correct, that is, the relations that make up this proportion are really equal, then for the proportion the following is true:


The product of the extreme terms of a proportion is equal to the product of averages.

The rule above is called the basic property of proportion.

In order to properly apply the rule, we suggest you remember the rule (cross) of the "X".

Consider it on the example of proportion.

  Proportions

Make sure the proportion is correct.

  Proportions

Now write down the proportion and draw a cross over the equal sign with a pencil.

  Proportions

Having drawn a cross, it is much easier to compose the desired work (to fulfill the basic property of proportion).

created: 2014-09-22
updated: 2021-03-13
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Arithmetic

Terms: Arithmetic