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Finding the Third Proportional to 101,282 and 222,916

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Solution

The third proportional to 101,282 and 222,916 is: 490,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,282 : 222,916 = 222,916 : x
  2. Step 2: Convert to fraction form
    101,282/222,916 = 222,916/x
  3. Step 3: Cross multiply
    101,282x = 222,916 × 222,916
  4. Step 4: Simplify right side
    101,282x = 49,691,543,056
  5. Step 5: Solve for x
    x = 49,691,543,056/101,282
  6. Step 6: Final answer
    x = 490,625.61

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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.