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Finding the Third Proportional to 71,642 and 155,727

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Solution

The third proportional to 71,642 and 155,727 is: 338,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642 : 155,727 = 155,727 : x
  2. Step 2: Convert to fraction form
    71,642/155,727 = 155,727/x
  3. Step 3: Cross multiply
    71,642x = 155,727 × 155,727
  4. Step 4: Simplify right side
    71,642x = 24,250,898,529
  5. Step 5: Solve for x
    x = 24,250,898,529/71,642
  6. Step 6: Final answer
    x = 338,501.14

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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.