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Finding the Third Proportional to 394,571.25 and 869,575.50

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Solution

The third proportional to 394,571.25 and 869,575.50 is: 1,916,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,571.25 : 869,575.50 = 869,575.50 : x
  2. Step 2: Convert to fraction form
    394,571.25/869,575.50 = 869,575.50/x
  3. Step 3: Cross multiply
    394,571.25x = 869,575.50 × 869,575.50
  4. Step 4: Simplify right side
    394,571.25x = 756,161,550,200.25
  5. Step 5: Solve for x
    x = 756,161,550,200.25/394,571.25
  6. Step 6: Final answer
    x = 1,916,413.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.