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Finding the Third Proportional to 120.27 and 191.20

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Solution

The third proportional to 120.27 and 191.20 is: 303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.27 : 191.20 = 191.20 : x
  2. Step 2: Convert to fraction form
    120.27/191.20 = 191.20/x
  3. Step 3: Cross multiply
    120.27x = 191.20 × 191.20
  4. Step 4: Simplify right side
    120.27x = 36,556.39
  5. Step 5: Solve for x
    x = 36,556.39/120.27
  6. Step 6: Final answer
    x = 303.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.