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Finding the Third Proportional to 9.85 and 20.76

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Solution

The third proportional to 9.85 and 20.76 is: 43.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.85 : 20.76 = 20.76 : x
  2. Step 2: Convert to fraction form
    9.85/20.76 = 20.76/x
  3. Step 3: Cross multiply
    9.85x = 20.76 × 20.76
  4. Step 4: Simplify right side
    9.85x = 431.15
  5. Step 5: Solve for x
    x = 431.15/9.85
  6. Step 6: Final answer
    x = 43.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.