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Finding the Third Proportional to 80,449 and 171,580

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Solution

The third proportional to 80,449 and 171,580 is: 365,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,449 : 171,580 = 171,580 : x
  2. Step 2: Convert to fraction form
    80,449/171,580 = 171,580/x
  3. Step 3: Cross multiply
    80,449x = 171,580 × 171,580
  4. Step 4: Simplify right side
    80,449x = 29,439,696,400
  5. Step 5: Solve for x
    x = 29,439,696,400/80,449
  6. Step 6: Final answer
    x = 365,942.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.