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Finding the Third Proportional to 252.66 and 520.97

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Solution

The third proportional to 252.66 and 520.97 is: 1,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.66 : 520.97 = 520.97 : x
  2. Step 2: Convert to fraction form
    252.66/520.97 = 520.97/x
  3. Step 3: Cross multiply
    252.66x = 520.97 × 520.97
  4. Step 4: Simplify right side
    252.66x = 271,408.44
  5. Step 5: Solve for x
    x = 271,408.44/252.66
  6. Step 6: Final answer
    x = 1,074.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.