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Finding the Third Proportional to 42.52 and 103.92

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Solution

The third proportional to 42.52 and 103.92 is: 254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.52 : 103.92 = 103.92 : x
  2. Step 2: Convert to fraction form
    42.52/103.92 = 103.92/x
  3. Step 3: Cross multiply
    42.52x = 103.92 × 103.92
  4. Step 4: Simplify right side
    42.52x = 10,799.76
  5. Step 5: Solve for x
    x = 10,799.76/42.52
  6. Step 6: Final answer
    x = 254.02

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.