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Finding the Third Proportional to 7.31 and 16.82

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Solution

The third proportional to 7.31 and 16.82 is: 38.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.31 : 16.82 = 16.82 : x
  2. Step 2: Convert to fraction form
    7.31/16.82 = 16.82/x
  3. Step 3: Cross multiply
    7.31x = 16.82 × 16.82
  4. Step 4: Simplify right side
    7.31x = 283.04
  5. Step 5: Solve for x
    x = 283.04/7.31
  6. Step 6: Final answer
    x = 38.69

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.