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Finding the Third Proportional to 5,170 and 11,861

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Solution

The third proportional to 5,170 and 11,861 is: 27,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170 : 11,861 = 11,861 : x
  2. Step 2: Convert to fraction form
    5,170/11,861 = 11,861/x
  3. Step 3: Cross multiply
    5,170x = 11,861 × 11,861
  4. Step 4: Simplify right side
    5,170x = 140,683,321
  5. Step 5: Solve for x
    x = 140,683,321/5,170
  6. Step 6: Final answer
    x = 27,211.47

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.