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Finding the Third Proportional to 80,438 and 122,387

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Solution

The third proportional to 80,438 and 122,387 is: 186,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,438 : 122,387 = 122,387 : x
  2. Step 2: Convert to fraction form
    80,438/122,387 = 122,387/x
  3. Step 3: Cross multiply
    80,438x = 122,387 × 122,387
  4. Step 4: Simplify right side
    80,438x = 14,978,577,769
  5. Step 5: Solve for x
    x = 14,978,577,769/80,438
  6. Step 6: Final answer
    x = 186,212.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.