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Finding the Third Proportional to 9.90 and 20.34

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Solution

The third proportional to 9.90 and 20.34 is: 41.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.90 : 20.34 = 20.34 : x
  2. Step 2: Convert to fraction form
    9.90/20.34 = 20.34/x
  3. Step 3: Cross multiply
    9.90x = 20.34 × 20.34
  4. Step 4: Simplify right side
    9.90x = 413.64
  5. Step 5: Solve for x
    x = 413.64/9.90
  6. Step 6: Final answer
    x = 41.79

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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.