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Finding the Third Proportional to 222,766 and 321,857

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Solution

The third proportional to 222,766 and 321,857 is: 465,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,766 : 321,857 = 321,857 : x
  2. Step 2: Convert to fraction form
    222,766/321,857 = 321,857/x
  3. Step 3: Cross multiply
    222,766x = 321,857 × 321,857
  4. Step 4: Simplify right side
    222,766x = 103,591,928,449
  5. Step 5: Solve for x
    x = 103,591,928,449/222,766
  6. Step 6: Final answer
    x = 465,025.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.