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Finding the Third Proportional to 80,812 and 171,992

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Solution

The third proportional to 80,812 and 171,992 is: 366,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,812 : 171,992 = 171,992 : x
  2. Step 2: Convert to fraction form
    80,812/171,992 = 171,992/x
  3. Step 3: Cross multiply
    80,812x = 171,992 × 171,992
  4. Step 4: Simplify right side
    80,812x = 29,581,248,064
  5. Step 5: Solve for x
    x = 29,581,248,064/80,812
  6. Step 6: Final answer
    x = 366,050.19

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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.