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Finding the Third Proportional to 394,454 and 640,857

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Solution

The third proportional to 394,454 and 640,857 is: 1,041,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,454 : 640,857 = 640,857 : x
  2. Step 2: Convert to fraction form
    394,454/640,857 = 640,857/x
  3. Step 3: Cross multiply
    394,454x = 640,857 × 640,857
  4. Step 4: Simplify right side
    394,454x = 410,697,694,449
  5. Step 5: Solve for x
    x = 410,697,694,449/394,454
  6. Step 6: Final answer
    x = 1,041,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.