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Finding the Third Proportional to 178.75 and 267.25

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Solution

The third proportional to 178.75 and 267.25 is: 399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.75 : 267.25 = 267.25 : x
  2. Step 2: Convert to fraction form
    178.75/267.25 = 267.25/x
  3. Step 3: Cross multiply
    178.75x = 267.25 × 267.25
  4. Step 4: Simplify right side
    178.75x = 71,422.56
  5. Step 5: Solve for x
    x = 71,422.56/178.75
  6. Step 6: Final answer
    x = 399.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.