Question

Find two numbers a and b whose mean proportion is 12 and their third proportional is 96

Answer 1

answer is a=1.5 & b=12

Answer 2

The value of a is 1.5 and b is 12.

Step-by-step explanation:

Given : Two numbers a and b whose mean proportion is 12 and their third proportional is 96.

To find : The two numbers ?

Solution :

The mean proportion of three numbers a,b, c is given by $b^2=ac$.

Here, b is the mean proportion b=12

Third proportion let say c=96.

Substitute the value,

$(12)^2=a\times 96$

$144=a\times 96$

$a=\frac{144}{96}$

$a=1.5$

Therefore, the value of a is 1.5 and b is 12.

#Learn more

Find the two numbers whose mean proportion is 12 and the third proportion is 324

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