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Finding the Third Proportional to 3.96 and 8.18

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Solution

The third proportional to 3.96 and 8.18 is: 16.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.96 : 8.18 = 8.18 : x
  2. Step 2: Convert to fraction form
    3.96/8.18 = 8.18/x
  3. Step 3: Cross multiply
    3.96x = 8.18 × 8.18
  4. Step 4: Simplify right side
    3.96x = 66.94
  5. Step 5: Solve for x
    x = 66.94/3.96
  6. Step 6: Final answer
    x = 16.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.