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Finding the Third Proportional to 81,712 and 166,864

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Solution

The third proportional to 81,712 and 166,864 is: 340,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 166,864 = 166,864 : x
  2. Step 2: Convert to fraction form
    81,712/166,864 = 166,864/x
  3. Step 3: Cross multiply
    81,712x = 166,864 × 166,864
  4. Step 4: Simplify right side
    81,712x = 27,843,594,496
  5. Step 5: Solve for x
    x = 27,843,594,496/81,712
  6. Step 6: Final answer
    x = 340,752.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.