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Finding the Third Proportional to 280,328 and 423,837

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Solution

The third proportional to 280,328 and 423,837 is: 640,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,328 : 423,837 = 423,837 : x
  2. Step 2: Convert to fraction form
    280,328/423,837 = 423,837/x
  3. Step 3: Cross multiply
    280,328x = 423,837 × 423,837
  4. Step 4: Simplify right side
    280,328x = 179,637,802,569
  5. Step 5: Solve for x
    x = 179,637,802,569/280,328
  6. Step 6: Final answer
    x = 640,812.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.