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Finding the Third Proportional to 3.87 and 9.92

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Solution

The third proportional to 3.87 and 9.92 is: 25.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.87 : 9.92 = 9.92 : x
  2. Step 2: Convert to fraction form
    3.87/9.92 = 9.92/x
  3. Step 3: Cross multiply
    3.87x = 9.92 × 9.92
  4. Step 4: Simplify right side
    3.87x = 98.36
  5. Step 5: Solve for x
    x = 98.36/3.87
  6. Step 6: Final answer
    x = 25.43

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.