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Finding the Third Proportional to 103,554 and 222,212

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Solution

The third proportional to 103,554 and 222,212 is: 476,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,554 : 222,212 = 222,212 : x
  2. Step 2: Convert to fraction form
    103,554/222,212 = 222,212/x
  3. Step 3: Cross multiply
    103,554x = 222,212 × 222,212
  4. Step 4: Simplify right side
    103,554x = 49,378,172,944
  5. Step 5: Solve for x
    x = 49,378,172,944/103,554
  6. Step 6: Final answer
    x = 476,835.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.