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Finding the Third Proportional to 394,452 and 640,854

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Solution

The third proportional to 394,452 and 640,854 is: 1,041,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,452 : 640,854 = 640,854 : x
  2. Step 2: Convert to fraction form
    394,452/640,854 = 640,854/x
  3. Step 3: Cross multiply
    394,452x = 640,854 × 640,854
  4. Step 4: Simplify right side
    394,452x = 410,693,849,316
  5. Step 5: Solve for x
    x = 410,693,849,316/394,452
  6. Step 6: Final answer
    x = 1,041,175.73

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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.