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Finding the Third Proportional to 313,878 and 442,204

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Solution

The third proportional to 313,878 and 442,204 is: 622,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,878 : 442,204 = 442,204 : x
  2. Step 2: Convert to fraction form
    313,878/442,204 = 442,204/x
  3. Step 3: Cross multiply
    313,878x = 442,204 × 442,204
  4. Step 4: Simplify right side
    313,878x = 195,544,377,616
  5. Step 5: Solve for x
    x = 195,544,377,616/313,878
  6. Step 6: Final answer
    x = 622,994.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.