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Finding the Third Proportional to 408,469 and 888,927

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Solution

The third proportional to 408,469 and 888,927 is: 1,934,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,469 : 888,927 = 888,927 : x
  2. Step 2: Convert to fraction form
    408,469/888,927 = 888,927/x
  3. Step 3: Cross multiply
    408,469x = 888,927 × 888,927
  4. Step 4: Simplify right side
    408,469x = 790,191,211,329
  5. Step 5: Solve for x
    x = 790,191,211,329/408,469
  6. Step 6: Final answer
    x = 1,934,519.42

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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.