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Finding the Third Proportional to 7.97 and 10.72

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Solution

The third proportional to 7.97 and 10.72 is: 14.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.97 : 10.72 = 10.72 : x
  2. Step 2: Convert to fraction form
    7.97/10.72 = 10.72/x
  3. Step 3: Cross multiply
    7.97x = 10.72 × 10.72
  4. Step 4: Simplify right side
    7.97x = 114.92
  5. Step 5: Solve for x
    x = 114.92/7.97
  6. Step 6: Final answer
    x = 14.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.