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Finding the Third Proportional to 103,684 and 222,110

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Solution

The third proportional to 103,684 and 222,110 is: 475,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 222,110 = 222,110 : x
  2. Step 2: Convert to fraction form
    103,684/222,110 = 222,110/x
  3. Step 3: Cross multiply
    103,684x = 222,110 × 222,110
  4. Step 4: Simplify right side
    103,684x = 49,332,852,100
  5. Step 5: Solve for x
    x = 49,332,852,100/103,684
  6. Step 6: Final answer
    x = 475,800.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.