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Finding the Third Proportional to 120.75 and 163.31

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Solution

The third proportional to 120.75 and 163.31 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 163.31 = 163.31 : x
  2. Step 2: Convert to fraction form
    120.75/163.31 = 163.31/x
  3. Step 3: Cross multiply
    120.75x = 163.31 × 163.31
  4. Step 4: Simplify right side
    120.75x = 26,670.97
  5. Step 5: Solve for x
    x = 26,670.97/120.75
  6. Step 6: Final answer
    x = 220.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.