Question

the ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is?​

Answer 1

Answer:

5 : 1

Step-by-step explanation:

Let the third proportional be x.

=> 12:30::30:x

In Proportion,

Product of extreme terms = Product of mean terms

=> 12 × x = 30×30

=> x = 900/12

=> x = 75

Therefore, the third proportional to 12 and 20 is 75.

Let the mean proportional be y.

=> 9:y::y:25

In Proportion,

Product of mean terms = Product of extreme terms

=> y × y = 9×25

=> y² = 225

=> y = √225

=> y = 15

Therefore, the mean proportional between 9 and 25 is 15.

Ratio = 75 : 15 = 5 : 1

Answer 2

Answer:

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