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Finding the Third Proportional to 104,112 and 222,426

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Solution

The third proportional to 104,112 and 222,426 is: 475,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,112 : 222,426 = 222,426 : x
  2. Step 2: Convert to fraction form
    104,112/222,426 = 222,426/x
  3. Step 3: Cross multiply
    104,112x = 222,426 × 222,426
  4. Step 4: Simplify right side
    104,112x = 49,473,325,476
  5. Step 5: Solve for x
    x = 49,473,325,476/104,112
  6. Step 6: Final answer
    x = 475,193.31

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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.