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Finding the Third Proportional to 80,784 and 171,424

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Solution

The third proportional to 80,784 and 171,424 is: 363,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,784 : 171,424 = 171,424 : x
  2. Step 2: Convert to fraction form
    80,784/171,424 = 171,424/x
  3. Step 3: Cross multiply
    80,784x = 171,424 × 171,424
  4. Step 4: Simplify right side
    80,784x = 29,386,187,776
  5. Step 5: Solve for x
    x = 29,386,187,776/80,784
  6. Step 6: Final answer
    x = 363,762.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.