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Finding the Third Proportional to 8.29 and 18.18

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Solution

The third proportional to 8.29 and 18.18 is: 39.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.29 : 18.18 = 18.18 : x
  2. Step 2: Convert to fraction form
    8.29/18.18 = 18.18/x
  3. Step 3: Cross multiply
    8.29x = 18.18 × 18.18
  4. Step 4: Simplify right side
    8.29x = 330.52
  5. Step 5: Solve for x
    x = 330.52/8.29
  6. Step 6: Final answer
    x = 39.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.