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Finding the Third Proportional to 198,318.38 and 407,197.13

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Solution

The third proportional to 198,318.38 and 407,197.13 is: 836,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,318.38 : 407,197.13 = 407,197.13 : x
  2. Step 2: Convert to fraction form
    198,318.38/407,197.13 = 407,197.13/x
  3. Step 3: Cross multiply
    198,318.38x = 407,197.13 × 407,197.13
  4. Step 4: Simplify right side
    198,318.38x = 165,809,498,608.27
  5. Step 5: Solve for x
    x = 165,809,498,608.27/198,318.38
  6. Step 6: Final answer
    x = 836,077.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.