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Finding the Third Proportional to 115.95 and 239.27

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Solution

The third proportional to 115.95 and 239.27 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.95 : 239.27 = 239.27 : x
  2. Step 2: Convert to fraction form
    115.95/239.27 = 239.27/x
  3. Step 3: Cross multiply
    115.95x = 239.27 × 239.27
  4. Step 4: Simplify right side
    115.95x = 57,251.78
  5. Step 5: Solve for x
    x = 57,251.78/115.95
  6. Step 6: Final answer
    x = 493.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.