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Finding the Third Proportional to 239.38 and 311.73

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Solution

The third proportional to 239.38 and 311.73 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.38 : 311.73 = 311.73 : x
  2. Step 2: Convert to fraction form
    239.38/311.73 = 311.73/x
  3. Step 3: Cross multiply
    239.38x = 311.73 × 311.73
  4. Step 4: Simplify right side
    239.38x = 97,175.89
  5. Step 5: Solve for x
    x = 97,175.89/239.38
  6. Step 6: Final answer
    x = 405.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.