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Finding the Third Proportional to 33,715 and 68,387

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Solution

The third proportional to 33,715 and 68,387 is: 138,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715 : 68,387 = 68,387 : x
  2. Step 2: Convert to fraction form
    33,715/68,387 = 68,387/x
  3. Step 3: Cross multiply
    33,715x = 68,387 × 68,387
  4. Step 4: Simplify right side
    33,715x = 4,676,781,769
  5. Step 5: Solve for x
    x = 4,676,781,769/33,715
  6. Step 6: Final answer
    x = 138,715.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.