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Finding the Third Proportional to 267,487 and 415,514

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Solution

The third proportional to 267,487 and 415,514 is: 645,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,487 : 415,514 = 415,514 : x
  2. Step 2: Convert to fraction form
    267,487/415,514 = 415,514/x
  3. Step 3: Cross multiply
    267,487x = 415,514 × 415,514
  4. Step 4: Simplify right side
    267,487x = 172,651,884,196
  5. Step 5: Solve for x
    x = 172,651,884,196/267,487
  6. Step 6: Final answer
    x = 645,458.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.