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Finding the Third Proportional to 262,326 and 396,609

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Solution

The third proportional to 262,326 and 396,609 is: 599,630.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,326 : 396,609 = 396,609 : x
  2. Step 2: Convert to fraction form
    262,326/396,609 = 396,609/x
  3. Step 3: Cross multiply
    262,326x = 396,609 × 396,609
  4. Step 4: Simplify right side
    262,326x = 157,298,698,881
  5. Step 5: Solve for x
    x = 157,298,698,881/262,326
  6. Step 6: Final answer
    x = 599,630.61

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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.