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Finding the Third Proportional to 408,070 and 888,418

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Solution

The third proportional to 408,070 and 888,418 is: 1,934,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070 : 888,418 = 888,418 : x
  2. Step 2: Convert to fraction form
    408,070/888,418 = 888,418/x
  3. Step 3: Cross multiply
    408,070x = 888,418 × 888,418
  4. Step 4: Simplify right side
    408,070x = 789,286,542,724
  5. Step 5: Solve for x
    x = 789,286,542,724/408,070
  6. Step 6: Final answer
    x = 1,934,193.99

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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.