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Finding the Third Proportional to 3.81 and 8.29

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Solution

The third proportional to 3.81 and 8.29 is: 18.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.81 : 8.29 = 8.29 : x
  2. Step 2: Convert to fraction form
    3.81/8.29 = 8.29/x
  3. Step 3: Cross multiply
    3.81x = 8.29 × 8.29
  4. Step 4: Simplify right side
    3.81x = 68.65
  5. Step 5: Solve for x
    x = 68.65/3.81
  6. Step 6: Final answer
    x = 18.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.