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Finding the Third Proportional to 120.80 and 182.11

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Solution

The third proportional to 120.80 and 182.11 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.80 : 182.11 = 182.11 : x
  2. Step 2: Convert to fraction form
    120.80/182.11 = 182.11/x
  3. Step 3: Cross multiply
    120.80x = 182.11 × 182.11
  4. Step 4: Simplify right side
    120.80x = 33,163.82
  5. Step 5: Solve for x
    x = 33,163.82/120.80
  6. Step 6: Final answer
    x = 274.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.