Finding the Third Proportional to 415 and 453
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Solution
The third proportional to 415 and 453 is: 494.48
Step by Step Solution
- Step 1: Write the proportion equation
415 : 453 = 453 : x - Step 2: Convert to fraction form
415/453 = 453/x - Step 3: Cross multiply
415x = 453 × 453 - Step 4: Simplify right side
415x = 205,209 - Step 5: Solve for x
x = 205,209/415 - Step 6: Final answer
x = 494.48
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.