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Finding the Third Proportional to 3.35 and 8.11

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Solution

The third proportional to 3.35 and 8.11 is: 19.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.35 : 8.11 = 8.11 : x
  2. Step 2: Convert to fraction form
    3.35/8.11 = 8.11/x
  3. Step 3: Cross multiply
    3.35x = 8.11 × 8.11
  4. Step 4: Simplify right side
    3.35x = 65.74
  5. Step 5: Solve for x
    x = 65.74/3.35
  6. Step 6: Final answer
    x = 19.65

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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.