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Finding the Third Proportional to 267,453 and 415,461

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Solution

The third proportional to 267,453 and 415,461 is: 645,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,453 : 415,461 = 415,461 : x
  2. Step 2: Convert to fraction form
    267,453/415,461 = 415,461/x
  3. Step 3: Cross multiply
    267,453x = 415,461 × 415,461
  4. Step 4: Simplify right side
    267,453x = 172,607,842,521
  5. Step 5: Solve for x
    x = 172,607,842,521/267,453
  6. Step 6: Final answer
    x = 645,376.36

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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.