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Finding the Third Proportional to 280,524 and 394,578

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Solution

The third proportional to 280,524 and 394,578 is: 555,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,524 : 394,578 = 394,578 : x
  2. Step 2: Convert to fraction form
    280,524/394,578 = 394,578/x
  3. Step 3: Cross multiply
    280,524x = 394,578 × 394,578
  4. Step 4: Simplify right side
    280,524x = 155,691,798,084
  5. Step 5: Solve for x
    x = 155,691,798,084/280,524
  6. Step 6: Final answer
    x = 555,003.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.