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Finding the Third Proportional to 408,071 and 888,420

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Solution

The third proportional to 408,071 and 888,420 is: 1,934,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071 : 888,420 = 888,420 : x
  2. Step 2: Convert to fraction form
    408,071/888,420 = 888,420/x
  3. Step 3: Cross multiply
    408,071x = 888,420 × 888,420
  4. Step 4: Simplify right side
    408,071x = 789,290,096,400
  5. Step 5: Solve for x
    x = 789,290,096,400/408,071
  6. Step 6: Final answer
    x = 1,934,197.96

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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.