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Finding the Third Proportional to 191.11 and 388.55

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Solution

The third proportional to 191.11 and 388.55 is: 789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.11 : 388.55 = 388.55 : x
  2. Step 2: Convert to fraction form
    191.11/388.55 = 388.55/x
  3. Step 3: Cross multiply
    191.11x = 388.55 × 388.55
  4. Step 4: Simplify right side
    191.11x = 150,968.67
  5. Step 5: Solve for x
    x = 150,968.67/191.11
  6. Step 6: Final answer
    x = 789.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.