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Finding the Third Proportional to 9.97 and 15.42

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Solution

The third proportional to 9.97 and 15.42 is: 23.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.97 : 15.42 = 15.42 : x
  2. Step 2: Convert to fraction form
    9.97/15.42 = 15.42/x
  3. Step 3: Cross multiply
    9.97x = 15.42 × 15.42
  4. Step 4: Simplify right side
    9.97x = 237.92
  5. Step 5: Solve for x
    x = 237.92/9.97
  6. Step 6: Final answer
    x = 23.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.