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Finding the Third Proportional to 5.29 and 7.97

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Solution

The third proportional to 5.29 and 7.97 is: 12.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.29 : 7.97 = 7.97 : x
  2. Step 2: Convert to fraction form
    5.29/7.97 = 7.97/x
  3. Step 3: Cross multiply
    5.29x = 7.97 × 7.97
  4. Step 4: Simplify right side
    5.29x = 63.54
  5. Step 5: Solve for x
    x = 63.54/5.29
  6. Step 6: Final answer
    x = 12.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.