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Finding the Third Proportional to 34.13 and 82.31

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Solution

The third proportional to 34.13 and 82.31 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 82.31 = 82.31 : x
  2. Step 2: Convert to fraction form
    34.13/82.31 = 82.31/x
  3. Step 3: Cross multiply
    34.13x = 82.31 × 82.31
  4. Step 4: Simplify right side
    34.13x = 6,775.35
  5. Step 5: Solve for x
    x = 6,775.35/34.13
  6. Step 6: Final answer
    x = 198.54

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.