Question

show that the following numbers are in continued proportion 48 60 and 75​

Answer 1

Answer:

Answer:

48,60,75 are in continued proportion.

Step-by-step explanation:

To show : 48,60,75 are in continued proportion ?

Solution :

Let a,b,c are in continued proportion then,

a:b :: b:ca:b::b:c

i.e. a:b = b:ca:b=b:c

or \frac{a}{b}=\frac{b}{c}

b

a

=

c

b

Cross multiply,

ac=b^2ac=b

2

So, Condition of continued proportion is ac=b^2ac=b

2

Now, Take a=48, b=60 and c=75

48\times 75=(60)^248×75=(60)

2

3600=36003600=3600

Condition satisfied.

Therefore, 48,60,75 are in continued proportion.

Answer 2

Solution:

Consider 48:60::60:75

Product of means=60×60=3600

Product of extremes=48×75=3600

so product of means=product of extremes

Hence,48,60,75 are in continued proportion.