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Finding the Third Proportional to 263,664 and 394,857

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Solution

The third proportional to 263,664 and 394,857 is: 591,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,664 : 394,857 = 394,857 : x
  2. Step 2: Convert to fraction form
    263,664/394,857 = 394,857/x
  3. Step 3: Cross multiply
    263,664x = 394,857 × 394,857
  4. Step 4: Simplify right side
    263,664x = 155,912,050,449
  5. Step 5: Solve for x
    x = 155,912,050,449/263,664
  6. Step 6: Final answer
    x = 591,328.55

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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.