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Finding the Third Proportional to 222,929 and 482,218

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Solution

The third proportional to 222,929 and 482,218 is: 1,043,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,929 : 482,218 = 482,218 : x
  2. Step 2: Convert to fraction form
    222,929/482,218 = 482,218/x
  3. Step 3: Cross multiply
    222,929x = 482,218 × 482,218
  4. Step 4: Simplify right side
    222,929x = 232,534,199,524
  5. Step 5: Solve for x
    x = 232,534,199,524/222,929
  6. Step 6: Final answer
    x = 1,043,086.36

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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.