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Finding the Third Proportional to 8.23 and 15.82

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Solution

The third proportional to 8.23 and 15.82 is: 30.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 15.82 = 15.82 : x
  2. Step 2: Convert to fraction form
    8.23/15.82 = 15.82/x
  3. Step 3: Cross multiply
    8.23x = 15.82 × 15.82
  4. Step 4: Simplify right side
    8.23x = 250.28
  5. Step 5: Solve for x
    x = 250.28/8.23
  6. Step 6: Final answer
    x = 30.42

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.