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Finding the Third Proportional to 269,244 and 387,828

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Solution

The third proportional to 269,244 and 387,828 is: 558,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,244 : 387,828 = 387,828 : x
  2. Step 2: Convert to fraction form
    269,244/387,828 = 387,828/x
  3. Step 3: Cross multiply
    269,244x = 387,828 × 387,828
  4. Step 4: Simplify right side
    269,244x = 150,410,557,584
  5. Step 5: Solve for x
    x = 150,410,557,584/269,244
  6. Step 6: Final answer
    x = 558,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.