Finding the Third Proportional to 414 and 495
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Solution
The third proportional to 414 and 495 is: 591.85
Step by Step Solution
- Step 1: Write the proportion equation
414 : 495 = 495 : x - Step 2: Convert to fraction form
414/495 = 495/x - Step 3: Cross multiply
414x = 495 × 495 - Step 4: Simplify right side
414x = 245,025 - Step 5: Solve for x
x = 245,025/414 - Step 6: Final answer
x = 591.85
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.