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Finding the Third Proportional to 69,691 and 148,374

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Solution

The third proportional to 69,691 and 148,374 is: 315,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,691 : 148,374 = 148,374 : x
  2. Step 2: Convert to fraction form
    69,691/148,374 = 148,374/x
  3. Step 3: Cross multiply
    69,691x = 148,374 × 148,374
  4. Step 4: Simplify right side
    69,691x = 22,014,843,876
  5. Step 5: Solve for x
    x = 22,014,843,876/69,691
  6. Step 6: Final answer
    x = 315,892.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.