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Finding the Third Proportional to 81,432 and 171,612

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Solution

The third proportional to 81,432 and 171,612 is: 361,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432 : 171,612 = 171,612 : x
  2. Step 2: Convert to fraction form
    81,432/171,612 = 171,612/x
  3. Step 3: Cross multiply
    81,432x = 171,612 × 171,612
  4. Step 4: Simplify right side
    81,432x = 29,450,678,544
  5. Step 5: Solve for x
    x = 29,450,678,544/81,432
  6. Step 6: Final answer
    x = 361,659.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.