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Finding the Third Proportional to 5,191 and 8,165

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Solution

The third proportional to 5,191 and 8,165 is: 12,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191 : 8,165 = 8,165 : x
  2. Step 2: Convert to fraction form
    5,191/8,165 = 8,165/x
  3. Step 3: Cross multiply
    5,191x = 8,165 × 8,165
  4. Step 4: Simplify right side
    5,191x = 66,667,225
  5. Step 5: Solve for x
    x = 66,667,225/5,191
  6. Step 6: Final answer
    x = 12,842.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.