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Finding the Third Proportional to 198,458 and 468,393

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Solution

The third proportional to 198,458 and 468,393 is: 1,105,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,458 : 468,393 = 468,393 : x
  2. Step 2: Convert to fraction form
    198,458/468,393 = 468,393/x
  3. Step 3: Cross multiply
    198,458x = 468,393 × 468,393
  4. Step 4: Simplify right side
    198,458x = 219,392,002,449
  5. Step 5: Solve for x
    x = 219,392,002,449/198,458
  6. Step 6: Final answer
    x = 1,105,483.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.