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Finding the Third Proportional to 76,857 and 165,195

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Solution

The third proportional to 76,857 and 165,195 is: 355,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857 : 165,195 = 165,195 : x
  2. Step 2: Convert to fraction form
    76,857/165,195 = 165,195/x
  3. Step 3: Cross multiply
    76,857x = 165,195 × 165,195
  4. Step 4: Simplify right side
    76,857x = 27,289,388,025
  5. Step 5: Solve for x
    x = 27,289,388,025/76,857
  6. Step 6: Final answer
    x = 355,067.05

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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.