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Finding the Third Proportional to 3.29 and 8.54

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Solution

The third proportional to 3.29 and 8.54 is: 22.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.29 : 8.54 = 8.54 : x
  2. Step 2: Convert to fraction form
    3.29/8.54 = 8.54/x
  3. Step 3: Cross multiply
    3.29x = 8.54 × 8.54
  4. Step 4: Simplify right side
    3.29x = 72.89
  5. Step 5: Solve for x
    x = 72.89/3.29
  6. Step 6: Final answer
    x = 22.14

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.