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Finding the Third Proportional to 81,470 and 170,727

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Solution

The third proportional to 81,470 and 170,727 is: 357,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470 : 170,727 = 170,727 : x
  2. Step 2: Convert to fraction form
    81,470/170,727 = 170,727/x
  3. Step 3: Cross multiply
    81,470x = 170,727 × 170,727
  4. Step 4: Simplify right side
    81,470x = 29,147,708,529
  5. Step 5: Solve for x
    x = 29,147,708,529/81,470
  6. Step 6: Final answer
    x = 357,772.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.