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Finding the Third Proportional to 76,886 and 165,268

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Solution

The third proportional to 76,886 and 165,268 is: 355,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,886 : 165,268 = 165,268 : x
  2. Step 2: Convert to fraction form
    76,886/165,268 = 165,268/x
  3. Step 3: Cross multiply
    76,886x = 165,268 × 165,268
  4. Step 4: Simplify right side
    76,886x = 27,313,511,824
  5. Step 5: Solve for x
    x = 27,313,511,824/76,886
  6. Step 6: Final answer
    x = 355,246.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.