Question

find the mean proportional bwtween 1.5 and 13.5
and the anser in the back of my book says the awnser is ;4.5 i just need to know how to get 4.5 thank you if you explain this to me

Answer 1

Answer:

4.5

Step-by-step explanation:

4.5

1.5/x=x/13.5

x²=20.25

x=4.5

Answer 2

The mean proportional between 1.5 and 13.5 is 4.5

Given:

First number = 1.5

Second number = 13.5

To find:

The mean proportional between 1.5 and 13.5

Solution:

Let the mean proportional between 1.5 and 13.5 = x

Therefore, as per the question -

1.5 : x = x : 13.5

1.5/x = x/13.5

x × x = 1.5 × 13.5

x² = 15/10 × 135/10

x = √15/10 × 135/10

x = √ 3 × 5 × 3 × 3 × 5 /100

x = 3 × 3 × 5/10

x = 45/10

x = 4.5

Answer: The mean proportional between 1.5 and 13.5 is 4.5

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