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Finding the Third Proportional to 38,517 and 84,387

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Solution

The third proportional to 38,517 and 84,387 is: 184,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517 : 84,387 = 84,387 : x
  2. Step 2: Convert to fraction form
    38,517/84,387 = 84,387/x
  3. Step 3: Cross multiply
    38,517x = 84,387 × 84,387
  4. Step 4: Simplify right side
    38,517x = 7,121,165,769
  5. Step 5: Solve for x
    x = 7,121,165,769/38,517
  6. Step 6: Final answer
    x = 184,883.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.