Anita said the member at 8 ,12 ,30,45 in proportion do you agree with Anita give reason
Answers
8×45=360
12×30=360
hence it is proved because if product of extremes and product of means are equal it is called the number is in proportion.
Yes, we agree with Anita's reasoning because, in the given proportion, the product of extreme is equal to the product of mean.
Given,
The proportions 8,12,30, and 45.
To Find,
Reason for the given statement.
Solution,
Before solving the question, we must understand the concept of extreme and mean in the proportions.
Extreme:- If a proportion is written in ratio form using a colon, the extremes are the values that are furthest apart.
For example:- p : q :: r : s. In this, 'p' and 's' is the extreme of proportions.
Mean:- In proportions, the means are the values associated with the middle terms.
For example:- p : q :: r : s. In this, 'q' and 'r' is the mean of proportions.
So, to prove the above statement is true, we will use the formula
Product of extreme = product of mean.
= p × s = q × r.
Using the given number, 8 : 12 :: 30 : 45
= 8 × 45 = 12 × 30
= 360 = 360.
So, the given statement is true.
Yes, we agree with Anita's reasoning because, in the given proportion, the product of extreme is equal to the product of mean.
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