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Finding the Third Proportional to 33,711 and 68,379

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Solution

The third proportional to 33,711 and 68,379 is: 138,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,711 : 68,379 = 68,379 : x
  2. Step 2: Convert to fraction form
    33,711/68,379 = 68,379/x
  3. Step 3: Cross multiply
    33,711x = 68,379 × 68,379
  4. Step 4: Simplify right side
    33,711x = 4,675,687,641
  5. Step 5: Solve for x
    x = 4,675,687,641/33,711
  6. Step 6: Final answer
    x = 138,699.17

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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.