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Finding the Third Proportional to 33,972 and 68,860

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Solution

The third proportional to 33,972 and 68,860 is: 139,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972 : 68,860 = 68,860 : x
  2. Step 2: Convert to fraction form
    33,972/68,860 = 68,860/x
  3. Step 3: Cross multiply
    33,972x = 68,860 × 68,860
  4. Step 4: Simplify right side
    33,972x = 4,741,699,600
  5. Step 5: Solve for x
    x = 4,741,699,600/33,972
  6. Step 6: Final answer
    x = 139,576.70

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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.