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Finding the Third Proportional to 394,422 and 640,815

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Solution

The third proportional to 394,422 and 640,815 is: 1,041,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,422 : 640,815 = 640,815 : x
  2. Step 2: Convert to fraction form
    394,422/640,815 = 640,815/x
  3. Step 3: Cross multiply
    394,422x = 640,815 × 640,815
  4. Step 4: Simplify right side
    394,422x = 410,643,864,225
  5. Step 5: Solve for x
    x = 410,643,864,225/394,422
  6. Step 6: Final answer
    x = 1,041,128.19

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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.