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Finding the Third Proportional to 396,906.75 and 872,824.50

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Solution

The third proportional to 396,906.75 and 872,824.50 is: 1,919,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,906.75 : 872,824.50 = 872,824.50 : x
  2. Step 2: Convert to fraction form
    396,906.75/872,824.50 = 872,824.50/x
  3. Step 3: Cross multiply
    396,906.75x = 872,824.50 × 872,824.50
  4. Step 4: Simplify right side
    396,906.75x = 761,822,607,800.25
  5. Step 5: Solve for x
    x = 761,822,607,800.25/396,906.75
  6. Step 6: Final answer
    x = 1,919,399.48

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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.