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Finding the Third Proportional to 33,742 and 80,586

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Solution

The third proportional to 33,742 and 80,586 is: 192,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742 : 80,586 = 80,586 : x
  2. Step 2: Convert to fraction form
    33,742/80,586 = 80,586/x
  3. Step 3: Cross multiply
    33,742x = 80,586 × 80,586
  4. Step 4: Simplify right side
    33,742x = 6,494,103,396
  5. Step 5: Solve for x
    x = 6,494,103,396/33,742
  6. Step 6: Final answer
    x = 192,463.50

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.