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Finding the Third Proportional to 269,600 and 408,112

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Solution

The third proportional to 269,600 and 408,112 is: 617,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,600 : 408,112 = 408,112 : x
  2. Step 2: Convert to fraction form
    269,600/408,112 = 408,112/x
  3. Step 3: Cross multiply
    269,600x = 408,112 × 408,112
  4. Step 4: Simplify right side
    269,600x = 166,555,404,544
  5. Step 5: Solve for x
    x = 166,555,404,544/269,600
  6. Step 6: Final answer
    x = 617,787.11

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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.