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Finding the Third Proportional to 110.52 and 239.92

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Solution

The third proportional to 110.52 and 239.92 is: 520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.52 : 239.92 = 239.92 : x
  2. Step 2: Convert to fraction form
    110.52/239.92 = 239.92/x
  3. Step 3: Cross multiply
    110.52x = 239.92 × 239.92
  4. Step 4: Simplify right side
    110.52x = 57,559.23
  5. Step 5: Solve for x
    x = 57,559.23/110.52
  6. Step 6: Final answer
    x = 520.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.