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Finding the Third Proportional to 198,938 and 407,068

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Solution

The third proportional to 198,938 and 407,068 is: 832,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,938 : 407,068 = 407,068 : x
  2. Step 2: Convert to fraction form
    198,938/407,068 = 407,068/x
  3. Step 3: Cross multiply
    198,938x = 407,068 × 407,068
  4. Step 4: Simplify right side
    198,938x = 165,704,356,624
  5. Step 5: Solve for x
    x = 165,704,356,624/198,938
  6. Step 6: Final answer
    x = 832,944.72

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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.