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Finding the Third Proportional to 205.97 and 425.44

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Solution

The third proportional to 205.97 and 425.44 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 425.44 = 425.44 : x
  2. Step 2: Convert to fraction form
    205.97/425.44 = 425.44/x
  3. Step 3: Cross multiply
    205.97x = 425.44 × 425.44
  4. Step 4: Simplify right side
    205.97x = 180,997.07
  5. Step 5: Solve for x
    x = 180,997.07/205.97
  6. Step 6: Final answer
    x = 878.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.