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Finding the Third Proportional to 408,069 and 888,416

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Solution

The third proportional to 408,069 and 888,416 is: 1,934,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,069 : 888,416 = 888,416 : x
  2. Step 2: Convert to fraction form
    408,069/888,416 = 888,416/x
  3. Step 3: Cross multiply
    408,069x = 888,416 × 888,416
  4. Step 4: Simplify right side
    408,069x = 789,282,989,056
  5. Step 5: Solve for x
    x = 789,282,989,056/408,069
  6. Step 6: Final answer
    x = 1,934,190.02

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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.