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Finding the Third Proportional to 222,933 and 482,226

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Solution

The third proportional to 222,933 and 482,226 is: 1,043,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,933 : 482,226 = 482,226 : x
  2. Step 2: Convert to fraction form
    222,933/482,226 = 482,226/x
  3. Step 3: Cross multiply
    222,933x = 482,226 × 482,226
  4. Step 4: Simplify right side
    222,933x = 232,541,915,076
  5. Step 5: Solve for x
    x = 232,541,915,076/222,933
  6. Step 6: Final answer
    x = 1,043,102.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.