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Finding the Third Proportional to 3,862.69 and 8,213.91

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Solution

The third proportional to 3,862.69 and 8,213.91 is: 17,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.69 : 8,213.91 = 8,213.91 : x
  2. Step 2: Convert to fraction form
    3,862.69/8,213.91 = 8,213.91/x
  3. Step 3: Cross multiply
    3,862.69x = 8,213.91 × 8,213.91
  4. Step 4: Simplify right side
    3,862.69x = 67,468,255.88
  5. Step 5: Solve for x
    x = 67,468,255.88/3,862.69
  6. Step 6: Final answer
    x = 17,466.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.