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Finding the Third Proportional to 267,484 and 415,509

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Solution

The third proportional to 267,484 and 415,509 is: 645,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,484 : 415,509 = 415,509 : x
  2. Step 2: Convert to fraction form
    267,484/415,509 = 415,509/x
  3. Step 3: Cross multiply
    267,484x = 415,509 × 415,509
  4. Step 4: Simplify right side
    267,484x = 172,647,729,081
  5. Step 5: Solve for x
    x = 172,647,729,081/267,484
  6. Step 6: Final answer
    x = 645,450.68

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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.