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Finding the Third Proportional to 280,512 and 394,560

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Solution

The third proportional to 280,512 and 394,560 is: 554,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512 : 394,560 = 394,560 : x
  2. Step 2: Convert to fraction form
    280,512/394,560 = 394,560/x
  3. Step 3: Cross multiply
    280,512x = 394,560 × 394,560
  4. Step 4: Simplify right side
    280,512x = 155,677,593,600
  5. Step 5: Solve for x
    x = 155,677,593,600/280,512
  6. Step 6: Final answer
    x = 554,976.59

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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.