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Finding the Third Proportional to 5,353 and 8,105

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Solution

The third proportional to 5,353 and 8,105 is: 12,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353 : 8,105 = 8,105 : x
  2. Step 2: Convert to fraction form
    5,353/8,105 = 8,105/x
  3. Step 3: Cross multiply
    5,353x = 8,105 × 8,105
  4. Step 4: Simplify right side
    5,353x = 65,691,025
  5. Step 5: Solve for x
    x = 65,691,025/5,353
  6. Step 6: Final answer
    x = 12,271.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.