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Finding the Third Proportional to 263,494 and 394,518

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Solution

The third proportional to 263,494 and 394,518 is: 590,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,494 : 394,518 = 394,518 : x
  2. Step 2: Convert to fraction form
    263,494/394,518 = 394,518/x
  3. Step 3: Cross multiply
    263,494x = 394,518 × 394,518
  4. Step 4: Simplify right side
    263,494x = 155,644,452,324
  5. Step 5: Solve for x
    x = 155,644,452,324/263,494
  6. Step 6: Final answer
    x = 590,694.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.