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Finding the Third Proportional to 394,498 and 640,924

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Solution

The third proportional to 394,498 and 640,924 is: 1,041,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,498 : 640,924 = 640,924 : x
  2. Step 2: Convert to fraction form
    394,498/640,924 = 640,924/x
  3. Step 3: Cross multiply
    394,498x = 640,924 × 640,924
  4. Step 4: Simplify right side
    394,498x = 410,783,573,776
  5. Step 5: Solve for x
    x = 410,783,573,776/394,498
  6. Step 6: Final answer
    x = 1,041,281.77

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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.