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Finding the Third Proportional to 267,451 and 415,460

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Solution

The third proportional to 267,451 and 415,460 is: 645,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,451 : 415,460 = 415,460 : x
  2. Step 2: Convert to fraction form
    267,451/415,460 = 415,460/x
  3. Step 3: Cross multiply
    267,451x = 415,460 × 415,460
  4. Step 4: Simplify right side
    267,451x = 172,607,011,600
  5. Step 5: Solve for x
    x = 172,607,011,600/267,451
  6. Step 6: Final answer
    x = 645,378.08

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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.