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Finding the Third Proportional to 71,571 and 155,441

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Solution

The third proportional to 71,571 and 155,441 is: 337,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,571 : 155,441 = 155,441 : x
  2. Step 2: Convert to fraction form
    71,571/155,441 = 155,441/x
  3. Step 3: Cross multiply
    71,571x = 155,441 × 155,441
  4. Step 4: Simplify right side
    71,571x = 24,161,904,481
  5. Step 5: Solve for x
    x = 24,161,904,481/71,571
  6. Step 6: Final answer
    x = 337,593.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.