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Finding the Third Proportional to 71,543 and 155,398

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Solution

The third proportional to 71,543 and 155,398 is: 337,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543 : 155,398 = 155,398 : x
  2. Step 2: Convert to fraction form
    71,543/155,398 = 155,398/x
  3. Step 3: Cross multiply
    71,543x = 155,398 × 155,398
  4. Step 4: Simplify right side
    71,543x = 24,148,538,404
  5. Step 5: Solve for x
    x = 24,148,538,404/71,543
  6. Step 6: Final answer
    x = 337,538.80

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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.