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Finding the Third Proportional to 20.20 and 44.77

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Solution

The third proportional to 20.20 and 44.77 is: 99.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.20 : 44.77 = 44.77 : x
  2. Step 2: Convert to fraction form
    20.20/44.77 = 44.77/x
  3. Step 3: Cross multiply
    20.20x = 44.77 × 44.77
  4. Step 4: Simplify right side
    20.20x = 2,003.96
  5. Step 5: Solve for x
    x = 2,003.96/20.20
  6. Step 6: Final answer
    x = 99.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.