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Finding the Third Proportional to 205.97 and 453.18

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Solution

The third proportional to 205.97 and 453.18 is: 997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 453.18 = 453.18 : x
  2. Step 2: Convert to fraction form
    205.97/453.18 = 453.18/x
  3. Step 3: Cross multiply
    205.97x = 453.18 × 453.18
  4. Step 4: Simplify right side
    205.97x = 205,370.11
  5. Step 5: Solve for x
    x = 205,370.11/205.97
  6. Step 6: Final answer
    x = 997.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.