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Finding the Third Proportional to 80,218 and 170,762

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Solution

The third proportional to 80,218 and 170,762 is: 363,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,218 : 170,762 = 170,762 : x
  2. Step 2: Convert to fraction form
    80,218/170,762 = 170,762/x
  3. Step 3: Cross multiply
    80,218x = 170,762 × 170,762
  4. Step 4: Simplify right side
    80,218x = 29,159,660,644
  5. Step 5: Solve for x
    x = 29,159,660,644/80,218
  6. Step 6: Final answer
    x = 363,505.21

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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.