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Finding the Third Proportional to 269,815 and 395,974

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Solution

The third proportional to 269,815 and 395,974 is: 581,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,815 : 395,974 = 395,974 : x
  2. Step 2: Convert to fraction form
    269,815/395,974 = 395,974/x
  3. Step 3: Cross multiply
    269,815x = 395,974 × 395,974
  4. Step 4: Simplify right side
    269,815x = 156,795,408,676
  5. Step 5: Solve for x
    x = 156,795,408,676/269,815
  6. Step 6: Final answer
    x = 581,121.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.