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Finding the Third Proportional to 412,786 and 550,438

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Solution

The third proportional to 412,786 and 550,438 is: 733,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,786 : 550,438 = 550,438 : x
  2. Step 2: Convert to fraction form
    412,786/550,438 = 550,438/x
  3. Step 3: Cross multiply
    412,786x = 550,438 × 550,438
  4. Step 4: Simplify right side
    412,786x = 302,981,991,844
  5. Step 5: Solve for x
    x = 302,981,991,844/412,786
  6. Step 6: Final answer
    x = 733,992.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.