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Finding the Third Proportional to 204,904 and 419,924

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Solution

The third proportional to 204,904 and 419,924 is: 860,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,904 : 419,924 = 419,924 : x
  2. Step 2: Convert to fraction form
    204,904/419,924 = 419,924/x
  3. Step 3: Cross multiply
    204,904x = 419,924 × 419,924
  4. Step 4: Simplify right side
    204,904x = 176,336,165,776
  5. Step 5: Solve for x
    x = 176,336,165,776/204,904
  6. Step 6: Final answer
    x = 860,579.42

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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.