What is n if 16, n and 49 are in continued proportion?
- A28
- B74
7
4
- C32.5
- D47
4
7
Solution & Step-by-step Explanation
If three numbers a, b, and c are in continued proportion, then:
b
a
=
c
b
⟹b
2
=ac
Here, a=16, b=n, and c=49.
n
2
=16×49
n=
16×49
n=4×7=28
b
a
=
c
b
⟹b
2
=ac
Here, a=16, b=n, and c=49.
n
2
=16×49
n=
16×49
n=4×7=28