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Finding the Third Proportional to 76,855 and 165,191

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Solution

The third proportional to 76,855 and 165,191 is: 355,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,855 : 165,191 = 165,191 : x
  2. Step 2: Convert to fraction form
    76,855/165,191 = 165,191/x
  3. Step 3: Cross multiply
    76,855x = 165,191 × 165,191
  4. Step 4: Simplify right side
    76,855x = 27,288,066,481
  5. Step 5: Solve for x
    x = 27,288,066,481/76,855
  6. Step 6: Final answer
    x = 355,059.09

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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.