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Finding the Third Proportional to 123.25 and 261.44

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Solution

The third proportional to 123.25 and 261.44 is: 554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.25 : 261.44 = 261.44 : x
  2. Step 2: Convert to fraction form
    123.25/261.44 = 261.44/x
  3. Step 3: Cross multiply
    123.25x = 261.44 × 261.44
  4. Step 4: Simplify right side
    123.25x = 68,349.57
  5. Step 5: Solve for x
    x = 68,349.57/123.25
  6. Step 6: Final answer
    x = 554.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.