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Finding the Third Proportional to 3,200.25 and 7,413.38

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Solution

The third proportional to 3,200.25 and 7,413.38 is: 17,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.25 : 7,413.38 = 7,413.38 : x
  2. Step 2: Convert to fraction form
    3,200.25/7,413.38 = 7,413.38/x
  3. Step 3: Cross multiply
    3,200.25x = 7,413.38 × 7,413.38
  4. Step 4: Simplify right side
    3,200.25x = 54,958,128.89
  5. Step 5: Solve for x
    x = 54,958,128.89/3,200.25
  6. Step 6: Final answer
    x = 17,173.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.