Find the third proportional to 5 and 15 which is equal to the fourth proportional of 2, 5 and 18.
- A36
- B46
- C45
- D32
Solution & Step-by-step Explanation
Note: The phrasing "which is equal to" in the context of multiple-choice options typically implies finding the required values or matching a specific condition from the proportional mathematical rules. Let's verify both calculations.
Third proportional to 5 and 15:
Let the third proportional be x.
15
5
=
x
15
⟹x=
5
15×15
=45
Fourth proportional to 2, 5 and 18:
Let the fourth proportional be y.
5
2
=
y
18
⟹2y=5×18⟹2y=90⟹y=45
Both values are equal to 45. Thus, the correct value is 45.
Third proportional to 5 and 15:
Let the third proportional be x.
15
5
=
x
15
⟹x=
5
15×15
=45
Fourth proportional to 2, 5 and 18:
Let the fourth proportional be y.
5
2
=
y
18
⟹2y=5×18⟹2y=90⟹y=45
Both values are equal to 45. Thus, the correct value is 45.