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Finding the Third Proportional to 222,110 and 479,684

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Solution

The third proportional to 222,110 and 479,684 is: 1,035,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,110 : 479,684 = 479,684 : x
  2. Step 2: Convert to fraction form
    222,110/479,684 = 479,684/x
  3. Step 3: Cross multiply
    222,110x = 479,684 × 479,684
  4. Step 4: Simplify right side
    222,110x = 230,096,739,856
  5. Step 5: Solve for x
    x = 230,096,739,856/222,110
  6. Step 6: Final answer
    x = 1,035,958.49

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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.