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Finding the Third Proportional to 20.25 and 43.77

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Solution

The third proportional to 20.25 and 43.77 is: 94.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 43.77 = 43.77 : x
  2. Step 2: Convert to fraction form
    20.25/43.77 = 43.77/x
  3. Step 3: Cross multiply
    20.25x = 43.77 × 43.77
  4. Step 4: Simplify right side
    20.25x = 1,915.77
  5. Step 5: Solve for x
    x = 1,915.77/20.25
  6. Step 6: Final answer
    x = 94.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.