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Finding the Third Proportional to 9.92 and 20.33

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Solution

The third proportional to 9.92 and 20.33 is: 41.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.92 : 20.33 = 20.33 : x
  2. Step 2: Convert to fraction form
    9.92/20.33 = 20.33/x
  3. Step 3: Cross multiply
    9.92x = 20.33 × 20.33
  4. Step 4: Simplify right side
    9.92x = 413.47
  5. Step 5: Solve for x
    x = 413.47/9.92
  6. Step 6: Final answer
    x = 41.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.