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Finding the Third Proportional to 197,838 and 419,218

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Solution

The third proportional to 197,838 and 419,218 is: 888,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,838 : 419,218 = 419,218 : x
  2. Step 2: Convert to fraction form
    197,838/419,218 = 419,218/x
  3. Step 3: Cross multiply
    197,838x = 419,218 × 419,218
  4. Step 4: Simplify right side
    197,838x = 175,743,731,524
  5. Step 5: Solve for x
    x = 175,743,731,524/197,838
  6. Step 6: Final answer
    x = 888,321.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.