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Finding the Third Proportional to 81,772 and 166,641

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Solution

The third proportional to 81,772 and 166,641 is: 339,593.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772 : 166,641 = 166,641 : x
  2. Step 2: Convert to fraction form
    81,772/166,641 = 166,641/x
  3. Step 3: Cross multiply
    81,772x = 166,641 × 166,641
  4. Step 4: Simplify right side
    81,772x = 27,769,222,881
  5. Step 5: Solve for x
    x = 27,769,222,881/81,772
  6. Step 6: Final answer
    x = 339,593.29

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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.