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Finding the Third Proportional to 268,863 and 412,694

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Solution

The third proportional to 268,863 and 412,694 is: 633,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,863 : 412,694 = 412,694 : x
  2. Step 2: Convert to fraction form
    268,863/412,694 = 412,694/x
  3. Step 3: Cross multiply
    268,863x = 412,694 × 412,694
  4. Step 4: Simplify right side
    268,863x = 170,316,337,636
  5. Step 5: Solve for x
    x = 170,316,337,636/268,863
  6. Step 6: Final answer
    x = 633,468.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.