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Finding the Third Proportional to 222,200 and 488,872

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Solution

The third proportional to 222,200 and 488,872 is: 1,075,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,200 : 488,872 = 488,872 : x
  2. Step 2: Convert to fraction form
    222,200/488,872 = 488,872/x
  3. Step 3: Cross multiply
    222,200x = 488,872 × 488,872
  4. Step 4: Simplify right side
    222,200x = 238,995,832,384
  5. Step 5: Solve for x
    x = 238,995,832,384/222,200
  6. Step 6: Final answer
    x = 1,075,588.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.