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Finding the Third Proportional to 13.38 and 19.92

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Solution

The third proportional to 13.38 and 19.92 is: 29.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.38 : 19.92 = 19.92 : x
  2. Step 2: Convert to fraction form
    13.38/19.92 = 19.92/x
  3. Step 3: Cross multiply
    13.38x = 19.92 × 19.92
  4. Step 4: Simplify right side
    13.38x = 396.75
  5. Step 5: Solve for x
    x = 396.75/13.38
  6. Step 6: Final answer
    x = 29.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.