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Finding the Third Proportional to 148.25 and 221.75

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Solution

The third proportional to 148.25 and 221.75 is: 331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.25 : 221.75 = 221.75 : x
  2. Step 2: Convert to fraction form
    148.25/221.75 = 221.75/x
  3. Step 3: Cross multiply
    148.25x = 221.75 × 221.75
  4. Step 4: Simplify right side
    148.25x = 49,173.06
  5. Step 5: Solve for x
    x = 49,173.06/148.25
  6. Step 6: Final answer
    x = 331.69

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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.