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Finding the Third Proportional to 33,918 and 68,756

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Solution

The third proportional to 33,918 and 68,756 is: 139,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,918 : 68,756 = 68,756 : x
  2. Step 2: Convert to fraction form
    33,918/68,756 = 68,756/x
  3. Step 3: Cross multiply
    33,918x = 68,756 × 68,756
  4. Step 4: Simplify right side
    33,918x = 4,727,387,536
  5. Step 5: Solve for x
    x = 4,727,387,536/33,918
  6. Step 6: Final answer
    x = 139,376.95

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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.