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Finding the Third Proportional to 81,993 and 170,979

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Solution

The third proportional to 81,993 and 170,979 is: 356,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,993 : 170,979 = 170,979 : x
  2. Step 2: Convert to fraction form
    81,993/170,979 = 170,979/x
  3. Step 3: Cross multiply
    81,993x = 170,979 × 170,979
  4. Step 4: Simplify right side
    81,993x = 29,233,818,441
  5. Step 5: Solve for x
    x = 29,233,818,441/81,993
  6. Step 6: Final answer
    x = 356,540.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.