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Finding the Third Proportional to 33,734 and 73,542

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Solution

The third proportional to 33,734 and 73,542 is: 160,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734 : 73,542 = 73,542 : x
  2. Step 2: Convert to fraction form
    33,734/73,542 = 73,542/x
  3. Step 3: Cross multiply
    33,734x = 73,542 × 73,542
  4. Step 4: Simplify right side
    33,734x = 5,408,425,764
  5. Step 5: Solve for x
    x = 5,408,425,764/33,734
  6. Step 6: Final answer
    x = 160,325.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.