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Finding the Third Proportional to 222,351 and 488,991

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Solution

The third proportional to 222,351 and 488,991 is: 1,075,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,351 : 488,991 = 488,991 : x
  2. Step 2: Convert to fraction form
    222,351/488,991 = 488,991/x
  3. Step 3: Cross multiply
    222,351x = 488,991 × 488,991
  4. Step 4: Simplify right side
    222,351x = 239,112,198,081
  5. Step 5: Solve for x
    x = 239,112,198,081/222,351
  6. Step 6: Final answer
    x = 1,075,381.71

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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.