Question

Mean proportional between 8 and 72 is

Answer 1

Answer:

the difference

is 24

Step-by-step explanation:

If you have two numbers - a and c - the mean proportional is the number that satisfies the relation:

ar=b  and  br=c  

i.e.  ba=r,cb=r,c=ar2  

it can also be expressed as the geometric mean between the two numbers i.e.

b=ac−−√  

The way I am going to solve this is to use the formula  c=ar2  (because the calculation for this is usually the The way I am going to solve this is to use the formula  c=ar2  (because the calculation for this is usually the most efficient)

r2=ca=728=9  

r=9–√=3  

b=ar=8∗3=24

the mean proportional between 8 and 72 is 24

Answer 2

Answer:

24.

Step-by-step explanation:

Ar= b and Ab =c

That is : b/a= r, c/b= r , c= ar²

it can be also expressed as the geometric mean between the two numbers i.e.

b=√ac

This way I am going to solve this is use to formula c = ar² ( because the calculation for this is usually the most efficient )

r² = c/a =72/8=9

r= ar = 8*3= 24.

therefore,

the mean proportional between 8 and 72 is 24.

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