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Finding the Third Proportional to 204,483 and 419,163

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Solution

The third proportional to 204,483 and 419,163 is: 859,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,483 : 419,163 = 419,163 : x
  2. Step 2: Convert to fraction form
    204,483/419,163 = 419,163/x
  3. Step 3: Cross multiply
    204,483x = 419,163 × 419,163
  4. Step 4: Simplify right side
    204,483x = 175,697,620,569
  5. Step 5: Solve for x
    x = 175,697,620,569/204,483
  6. Step 6: Final answer
    x = 859,228.50

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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.