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Finding the Third Proportional to 269,838 and 396,008

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Solution

The third proportional to 269,838 and 396,008 is: 581,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,838 : 396,008 = 396,008 : x
  2. Step 2: Convert to fraction form
    269,838/396,008 = 396,008/x
  3. Step 3: Cross multiply
    269,838x = 396,008 × 396,008
  4. Step 4: Simplify right side
    269,838x = 156,822,336,064
  5. Step 5: Solve for x
    x = 156,822,336,064/269,838
  6. Step 6: Final answer
    x = 581,172.17

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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.