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Finding the Third Proportional to 122.55 and 252.49

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Solution

The third proportional to 122.55 and 252.49 is: 520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.55 : 252.49 = 252.49 : x
  2. Step 2: Convert to fraction form
    122.55/252.49 = 252.49/x
  3. Step 3: Cross multiply
    122.55x = 252.49 × 252.49
  4. Step 4: Simplify right side
    122.55x = 63,752.30
  5. Step 5: Solve for x
    x = 63,752.30/122.55
  6. Step 6: Final answer
    x = 520.19

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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.