The third proportional to (5
2
−3
2
) and (5−3) is:
- A3
1
- B8
1
- C2
1
- D4
1
Solution & Step-by-step Explanation
Let the two given terms be a and b:
a=5
2
−3
2
=25−9=16
b=5−3=2
Let the third proportional be c. By definition, if a, b, and c are in continuous proportion:
b
a
=
c
b
⟹c=
a
b
2
Substituting the values:
c=
16
2
2
=
16
4
=
4
1
a=5
2
−3
2
=25−9=16
b=5−3=2
Let the third proportional be c. By definition, if a, b, and c are in continuous proportion:
b
a
=
c
b
⟹c=
a
b
2
Substituting the values:
c=
16
2
2
=
16
4
=
4
1