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Finding the Third Proportional to 222,239 and 479,228

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Solution

The third proportional to 222,239 and 479,228 is: 1,033,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,239 : 479,228 = 479,228 : x
  2. Step 2: Convert to fraction form
    222,239/479,228 = 479,228/x
  3. Step 3: Cross multiply
    222,239x = 479,228 × 479,228
  4. Step 4: Simplify right side
    222,239x = 229,659,475,984
  5. Step 5: Solve for x
    x = 229,659,475,984/222,239
  6. Step 6: Final answer
    x = 1,033,389.62

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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.