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Finding the Third Proportional to 205.88 and 454.69

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Solution

The third proportional to 205.88 and 454.69 is: 1,004.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 454.69 = 454.69 : x
  2. Step 2: Convert to fraction form
    205.88/454.69 = 454.69/x
  3. Step 3: Cross multiply
    205.88x = 454.69 × 454.69
  4. Step 4: Simplify right side
    205.88x = 206,740.72
  5. Step 5: Solve for x
    x = 206,740.72/205.88
  6. Step 6: Final answer
    x = 1,004.21

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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.