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Finding the Third Proportional to 123.12 and 251.26

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Solution

The third proportional to 123.12 and 251.26 is: 512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.12 : 251.26 = 251.26 : x
  2. Step 2: Convert to fraction form
    123.12/251.26 = 251.26/x
  3. Step 3: Cross multiply
    123.12x = 251.26 × 251.26
  4. Step 4: Simplify right side
    123.12x = 63,132.45
  5. Step 5: Solve for x
    x = 63,132.45/123.12
  6. Step 6: Final answer
    x = 512.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.