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Finding the Third Proportional to 198.69 and 411.13

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Solution

The third proportional to 198.69 and 411.13 is: 850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 411.13 = 411.13 : x
  2. Step 2: Convert to fraction form
    198.69/411.13 = 411.13/x
  3. Step 3: Cross multiply
    198.69x = 411.13 × 411.13
  4. Step 4: Simplify right side
    198.69x = 169,023.77
  5. Step 5: Solve for x
    x = 169,023.77/198.69
  6. Step 6: Final answer
    x = 850.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.