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Finding the Third Proportional to 205.78 and 454.03

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Solution

The third proportional to 205.78 and 454.03 is: 1,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 454.03 = 454.03 : x
  2. Step 2: Convert to fraction form
    205.78/454.03 = 454.03/x
  3. Step 3: Cross multiply
    205.78x = 454.03 × 454.03
  4. Step 4: Simplify right side
    205.78x = 206,144.38
  5. Step 5: Solve for x
    x = 206,144.38/205.78
  6. Step 6: Final answer
    x = 1,001.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.