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Finding the Third Proportional to 198,784 and 397,405

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Solution

The third proportional to 198,784 and 397,405 is: 794,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,784 : 397,405 = 397,405 : x
  2. Step 2: Convert to fraction form
    198,784/397,405 = 397,405/x
  3. Step 3: Cross multiply
    198,784x = 397,405 × 397,405
  4. Step 4: Simplify right side
    198,784x = 157,930,734,025
  5. Step 5: Solve for x
    x = 157,930,734,025/198,784
  6. Step 6: Final answer
    x = 794,484.13

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.