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Finding the Third Proportional to 267,602 and 413,395

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Solution

The third proportional to 267,602 and 413,395 is: 638,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,602 : 413,395 = 413,395 : x
  2. Step 2: Convert to fraction form
    267,602/413,395 = 413,395/x
  3. Step 3: Cross multiply
    267,602x = 413,395 × 413,395
  4. Step 4: Simplify right side
    267,602x = 170,895,426,025
  5. Step 5: Solve for x
    x = 170,895,426,025/267,602
  6. Step 6: Final answer
    x = 638,617.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.