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Finding the Third Proportional to 408,067 and 888,412

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Solution

The third proportional to 408,067 and 888,412 is: 1,934,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,067 : 888,412 = 888,412 : x
  2. Step 2: Convert to fraction form
    408,067/888,412 = 888,412/x
  3. Step 3: Cross multiply
    408,067x = 888,412 × 888,412
  4. Step 4: Simplify right side
    408,067x = 789,275,881,744
  5. Step 5: Solve for x
    x = 789,275,881,744/408,067
  6. Step 6: Final answer
    x = 1,934,182.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.