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Finding the Third Proportional to 222,758 and 321,847

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Solution

The third proportional to 222,758 and 321,847 is: 465,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,758 : 321,847 = 321,847 : x
  2. Step 2: Convert to fraction form
    222,758/321,847 = 321,847/x
  3. Step 3: Cross multiply
    222,758x = 321,847 × 321,847
  4. Step 4: Simplify right side
    222,758x = 103,585,491,409
  5. Step 5: Solve for x
    x = 103,585,491,409/222,758
  6. Step 6: Final answer
    x = 465,013.56

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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.