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Finding the Third Proportional to 68,693 and 108,979

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Solution

The third proportional to 68,693 and 108,979 is: 172,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,693 : 108,979 = 108,979 : x
  2. Step 2: Convert to fraction form
    68,693/108,979 = 108,979/x
  3. Step 3: Cross multiply
    68,693x = 108,979 × 108,979
  4. Step 4: Simplify right side
    68,693x = 11,876,422,441
  5. Step 5: Solve for x
    x = 11,876,422,441/68,693
  6. Step 6: Final answer
    x = 172,891.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.