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Finding the Third Proportional to 422,478.28 and 939,413.32

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Solution

The third proportional to 422,478.28 and 939,413.32 is: 2,088,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,478.28 : 939,413.32 = 939,413.32 : x
  2. Step 2: Convert to fraction form
    422,478.28/939,413.32 = 939,413.32/x
  3. Step 3: Cross multiply
    422,478.28x = 939,413.32 × 939,413.32
  4. Step 4: Simplify right side
    422,478.28x = 882,497,386,380.56
  5. Step 5: Solve for x
    x = 882,497,386,380.56/422,478.28
  6. Step 6: Final answer
    x = 2,088,858.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.