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Finding the Third Proportional to 204,819 and 419,479

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Solution

The third proportional to 204,819 and 419,479 is: 859,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,819 : 419,479 = 419,479 : x
  2. Step 2: Convert to fraction form
    204,819/419,479 = 419,479/x
  3. Step 3: Cross multiply
    204,819x = 419,479 × 419,479
  4. Step 4: Simplify right side
    204,819x = 175,962,631,441
  5. Step 5: Solve for x
    x = 175,962,631,441/204,819
  6. Step 6: Final answer
    x = 859,112.83

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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.