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Finding the Third Proportional to 5,380 and 11,825

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Solution

The third proportional to 5,380 and 11,825 is: 25,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380 : 11,825 = 11,825 : x
  2. Step 2: Convert to fraction form
    5,380/11,825 = 11,825/x
  3. Step 3: Cross multiply
    5,380x = 11,825 × 11,825
  4. Step 4: Simplify right side
    5,380x = 139,830,625
  5. Step 5: Solve for x
    x = 139,830,625/5,380
  6. Step 6: Final answer
    x = 25,990.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.