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Finding the Third Proportional to 7.97 and 14.17

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Solution

The third proportional to 7.97 and 14.17 is: 25.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.97 : 14.17 = 14.17 : x
  2. Step 2: Convert to fraction form
    7.97/14.17 = 14.17/x
  3. Step 3: Cross multiply
    7.97x = 14.17 × 14.17
  4. Step 4: Simplify right side
    7.97x = 200.84
  5. Step 5: Solve for x
    x = 200.84/7.97
  6. Step 6: Final answer
    x = 25.20

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.