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Finding the Third Proportional to 212,448 and 434,694

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Solution

The third proportional to 212,448 and 434,694 is: 889,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,448 : 434,694 = 434,694 : x
  2. Step 2: Convert to fraction form
    212,448/434,694 = 434,694/x
  3. Step 3: Cross multiply
    212,448x = 434,694 × 434,694
  4. Step 4: Simplify right side
    212,448x = 188,958,873,636
  5. Step 5: Solve for x
    x = 188,958,873,636/212,448
  6. Step 6: Final answer
    x = 889,435.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.