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Finding the Third Proportional to 222,425 and 489,129

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Solution

The third proportional to 222,425 and 489,129 is: 1,075,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,425 : 489,129 = 489,129 : x
  2. Step 2: Convert to fraction form
    222,425/489,129 = 489,129/x
  3. Step 3: Cross multiply
    222,425x = 489,129 × 489,129
  4. Step 4: Simplify right side
    222,425x = 239,247,178,641
  5. Step 5: Solve for x
    x = 239,247,178,641/222,425
  6. Step 6: Final answer
    x = 1,075,630.79

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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.