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Finding the Third Proportional to 27,978 and 57,248.75

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Solution

The third proportional to 27,978 and 57,248.75 is: 117,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978 : 57,248.75 = 57,248.75 : x
  2. Step 2: Convert to fraction form
    27,978/57,248.75 = 57,248.75/x
  3. Step 3: Cross multiply
    27,978x = 57,248.75 × 57,248.75
  4. Step 4: Simplify right side
    27,978x = 3,277,419,376.56
  5. Step 5: Solve for x
    x = 3,277,419,376.56/27,978
  6. Step 6: Final answer
    x = 117,142.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.