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Finding the Third Proportional to 123.75 and 257.25

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Solution

The third proportional to 123.75 and 257.25 is: 534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.75 : 257.25 = 257.25 : x
  2. Step 2: Convert to fraction form
    123.75/257.25 = 257.25/x
  3. Step 3: Cross multiply
    123.75x = 257.25 × 257.25
  4. Step 4: Simplify right side
    123.75x = 66,177.56
  5. Step 5: Solve for x
    x = 66,177.56/123.75
  6. Step 6: Final answer
    x = 534.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.