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Finding the Third Proportional to 396,494.25 and 638,413.50

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Solution

The third proportional to 396,494.25 and 638,413.50 is: 1,027,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,494.25 : 638,413.50 = 638,413.50 : x
  2. Step 2: Convert to fraction form
    396,494.25/638,413.50 = 638,413.50/x
  3. Step 3: Cross multiply
    396,494.25x = 638,413.50 × 638,413.50
  4. Step 4: Simplify right side
    396,494.25x = 407,571,796,982.25
  5. Step 5: Solve for x
    x = 407,571,796,982.25/396,494.25
  6. Step 6: Final answer
    x = 1,027,938.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.