Finding the Third Proportional to 372 and 414
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Solution
The third proportional to 372 and 414 is: 460.74
Step by Step Solution
- Step 1: Write the proportion equation
372 : 414 = 414 : x - Step 2: Convert to fraction form
372/414 = 414/x - Step 3: Cross multiply
372x = 414 × 414 - Step 4: Simplify right side
372x = 171,396 - Step 5: Solve for x
x = 171,396/372 - Step 6: Final answer
x = 460.74
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.