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Finding the Third Proportional to 222,728 and 321,804

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Solution

The third proportional to 222,728 and 321,804 is: 464,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,728 : 321,804 = 321,804 : x
  2. Step 2: Convert to fraction form
    222,728/321,804 = 321,804/x
  3. Step 3: Cross multiply
    222,728x = 321,804 × 321,804
  4. Step 4: Simplify right side
    222,728x = 103,557,814,416
  5. Step 5: Solve for x
    x = 103,557,814,416/222,728
  6. Step 6: Final answer
    x = 464,951.93

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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.