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Finding the Third Proportional to 394,478 and 640,899

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Solution

The third proportional to 394,478 and 640,899 is: 1,041,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,478 : 640,899 = 640,899 : x
  2. Step 2: Convert to fraction form
    394,478/640,899 = 640,899/x
  3. Step 3: Cross multiply
    394,478x = 640,899 × 640,899
  4. Step 4: Simplify right side
    394,478x = 410,751,528,201
  5. Step 5: Solve for x
    x = 410,751,528,201/394,478
  6. Step 6: Final answer
    x = 1,041,253.32

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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.