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Finding the Third Proportional to 10,385 and 22,387

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Solution

The third proportional to 10,385 and 22,387 is: 48,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385 : 22,387 = 22,387 : x
  2. Step 2: Convert to fraction form
    10,385/22,387 = 22,387/x
  3. Step 3: Cross multiply
    10,385x = 22,387 × 22,387
  4. Step 4: Simplify right side
    10,385x = 501,177,769
  5. Step 5: Solve for x
    x = 501,177,769/10,385
  6. Step 6: Final answer
    x = 48,259.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.