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Finding the Third Proportional to 394,485 and 640,909

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Solution

The third proportional to 394,485 and 640,909 is: 1,041,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,485 : 640,909 = 640,909 : x
  2. Step 2: Convert to fraction form
    394,485/640,909 = 640,909/x
  3. Step 3: Cross multiply
    394,485x = 640,909 × 640,909
  4. Step 4: Simplify right side
    394,485x = 410,764,346,281
  5. Step 5: Solve for x
    x = 410,764,346,281/394,485
  6. Step 6: Final answer
    x = 1,041,267.34

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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.