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Finding the Third Proportional to 222,378.75 and 489,044.25

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Solution

The third proportional to 222,378.75 and 489,044.25 is: 1,075,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,378.75 : 489,044.25 = 489,044.25 : x
  2. Step 2: Convert to fraction form
    222,378.75/489,044.25 = 489,044.25/x
  3. Step 3: Cross multiply
    222,378.75x = 489,044.25 × 489,044.25
  4. Step 4: Simplify right side
    222,378.75x = 239,164,278,458.06
  5. Step 5: Solve for x
    x = 239,164,278,458.06/222,378.75
  6. Step 6: Final answer
    x = 1,075,481.71

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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.