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Finding the Third Proportional to 33,715 and 68,386

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Solution

The third proportional to 33,715 and 68,386 is: 138,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,715 : 68,386 = 68,386 : x
  2. Step 2: Convert to fraction form
    33,715/68,386 = 68,386/x
  3. Step 3: Cross multiply
    33,715x = 68,386 × 68,386
  4. Step 4: Simplify right side
    33,715x = 4,676,644,996
  5. Step 5: Solve for x
    x = 4,676,644,996/33,715
  6. Step 6: Final answer
    x = 138,711.11

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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.