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Finding the Third Proportional to 3.18 and 8.14

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Solution

The third proportional to 3.18 and 8.14 is: 20.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.18 : 8.14 = 8.14 : x
  2. Step 2: Convert to fraction form
    3.18/8.14 = 8.14/x
  3. Step 3: Cross multiply
    3.18x = 8.14 × 8.14
  4. Step 4: Simplify right side
    3.18x = 66.33
  5. Step 5: Solve for x
    x = 66.33/3.18
  6. Step 6: Final answer
    x = 20.88

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.