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Finding the Third Proportional to 252.49 and 550.34

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Solution

The third proportional to 252.49 and 550.34 is: 1,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.49 : 550.34 = 550.34 : x
  2. Step 2: Convert to fraction form
    252.49/550.34 = 550.34/x
  3. Step 3: Cross multiply
    252.49x = 550.34 × 550.34
  4. Step 4: Simplify right side
    252.49x = 302,869.64
  5. Step 5: Solve for x
    x = 302,869.64/252.49
  6. Step 6: Final answer
    x = 1,199.52

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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.