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Finding the Third Proportional to 269,856 and 396,036

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Solution

The third proportional to 269,856 and 396,036 is: 581,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,856 : 396,036 = 396,036 : x
  2. Step 2: Convert to fraction form
    269,856/396,036 = 396,036/x
  3. Step 3: Cross multiply
    269,856x = 396,036 × 396,036
  4. Step 4: Simplify right side
    269,856x = 156,844,513,296
  5. Step 5: Solve for x
    x = 156,844,513,296/269,856
  6. Step 6: Final answer
    x = 581,215.59

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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.