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Finding the Third Proportional to 4,085 and 8,611

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Solution

The third proportional to 4,085 and 8,611 is: 18,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085 : 8,611 = 8,611 : x
  2. Step 2: Convert to fraction form
    4,085/8,611 = 8,611/x
  3. Step 3: Cross multiply
    4,085x = 8,611 × 8,611
  4. Step 4: Simplify right side
    4,085x = 74,149,321
  5. Step 5: Solve for x
    x = 74,149,321/4,085
  6. Step 6: Final answer
    x = 18,151.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.