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Finding the Third Proportional to 407,969 and 888,521

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Solution

The third proportional to 407,969 and 888,521 is: 1,935,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,969 : 888,521 = 888,521 : x
  2. Step 2: Convert to fraction form
    407,969/888,521 = 888,521/x
  3. Step 3: Cross multiply
    407,969x = 888,521 × 888,521
  4. Step 4: Simplify right side
    407,969x = 789,469,567,441
  5. Step 5: Solve for x
    x = 789,469,567,441/407,969
  6. Step 6: Final answer
    x = 1,935,121.46

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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.