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Finding the Third Proportional to 198,639.38 and 434,414.16

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Solution

The third proportional to 198,639.38 and 434,414.16 is: 950,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,639.38 : 434,414.16 = 434,414.16 : x
  2. Step 2: Convert to fraction form
    198,639.38/434,414.16 = 434,414.16/x
  3. Step 3: Cross multiply
    198,639.38x = 434,414.16 × 434,414.16
  4. Step 4: Simplify right side
    198,639.38x = 188,715,659,150.40
  5. Step 5: Solve for x
    x = 188,715,659,150.40/198,639.38
  6. Step 6: Final answer
    x = 950,041.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.