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Finding the Third Proportional to 33,462 and 67,836

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Solution

The third proportional to 33,462 and 67,836 is: 137,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 67,836 = 67,836 : x
  2. Step 2: Convert to fraction form
    33,462/67,836 = 67,836/x
  3. Step 3: Cross multiply
    33,462x = 67,836 × 67,836
  4. Step 4: Simplify right side
    33,462x = 4,601,722,896
  5. Step 5: Solve for x
    x = 4,601,722,896/33,462
  6. Step 6: Final answer
    x = 137,520.86

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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.