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Finding the Third Proportional to 202,413.50 and 444,192

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Solution

The third proportional to 202,413.50 and 444,192 is: 974,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.50 : 444,192 = 444,192 : x
  2. Step 2: Convert to fraction form
    202,413.50/444,192 = 444,192/x
  3. Step 3: Cross multiply
    202,413.50x = 444,192 × 444,192
  4. Step 4: Simplify right side
    202,413.50x = 197,306,532,864
  5. Step 5: Solve for x
    x = 197,306,532,864/202,413.50
  6. Step 6: Final answer
    x = 974,769.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.