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Finding the Third Proportional to 27,866 and 38,979

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Solution

The third proportional to 27,866 and 38,979 is: 54,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 38,979 = 38,979 : x
  2. Step 2: Convert to fraction form
    27,866/38,979 = 38,979/x
  3. Step 3: Cross multiply
    27,866x = 38,979 × 38,979
  4. Step 4: Simplify right side
    27,866x = 1,519,362,441
  5. Step 5: Solve for x
    x = 1,519,362,441/27,866
  6. Step 6: Final answer
    x = 54,523.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.