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Finding the Third Proportional to 252.89 and 550.31

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Solution

The third proportional to 252.89 and 550.31 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.89 : 550.31 = 550.31 : x
  2. Step 2: Convert to fraction form
    252.89/550.31 = 550.31/x
  3. Step 3: Cross multiply
    252.89x = 550.31 × 550.31
  4. Step 4: Simplify right side
    252.89x = 302,843.85
  5. Step 5: Solve for x
    x = 302,843.85/252.89
  6. Step 6: Final answer
    x = 1,197.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.