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Finding the Third Proportional to 3.97 and 5.24

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Solution

The third proportional to 3.97 and 5.24 is: 6.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.97 : 5.24 = 5.24 : x
  2. Step 2: Convert to fraction form
    3.97/5.24 = 5.24/x
  3. Step 3: Cross multiply
    3.97x = 5.24 × 5.24
  4. Step 4: Simplify right side
    3.97x = 27.43
  5. Step 5: Solve for x
    x = 27.43/3.97
  6. Step 6: Final answer
    x = 6.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.