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Finding the Third Proportional to 280,960 and 420,384

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Solution

The third proportional to 280,960 and 420,384 is: 628,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,960 : 420,384 = 420,384 : x
  2. Step 2: Convert to fraction form
    280,960/420,384 = 420,384/x
  3. Step 3: Cross multiply
    280,960x = 420,384 × 420,384
  4. Step 4: Simplify right side
    280,960x = 176,722,707,456
  5. Step 5: Solve for x
    x = 176,722,707,456/280,960
  6. Step 6: Final answer
    x = 628,995.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.