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Finding the Third Proportional to 123 and 251.25

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Solution

The third proportional to 123 and 251.25 is: 513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 251.25 = 251.25 : x
  2. Step 2: Convert to fraction form
    123/251.25 = 251.25/x
  3. Step 3: Cross multiply
    123x = 251.25 × 251.25
  4. Step 4: Simplify right side
    123x = 63,126.56
  5. Step 5: Solve for x
    x = 63,126.56/123
  6. Step 6: Final answer
    x = 513.22

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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.