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Finding the Third Proportional to 27,279 and 69,837

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Solution

The third proportional to 27,279 and 69,837 is: 178,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,279 : 69,837 = 69,837 : x
  2. Step 2: Convert to fraction form
    27,279/69,837 = 69,837/x
  3. Step 3: Cross multiply
    27,279x = 69,837 × 69,837
  4. Step 4: Simplify right side
    27,279x = 4,877,206,569
  5. Step 5: Solve for x
    x = 4,877,206,569/27,279
  6. Step 6: Final answer
    x = 178,789.79

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.