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Finding the Third Proportional to 3.38 and 8.16

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Solution

The third proportional to 3.38 and 8.16 is: 19.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.38 : 8.16 = 8.16 : x
  2. Step 2: Convert to fraction form
    3.38/8.16 = 8.16/x
  3. Step 3: Cross multiply
    3.38x = 8.16 × 8.16
  4. Step 4: Simplify right side
    3.38x = 66.52
  5. Step 5: Solve for x
    x = 66.52/3.38
  6. Step 6: Final answer
    x = 19.71

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.