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Finding the Third Proportional to 6,326 and 13,883

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Solution

The third proportional to 6,326 and 13,883 is: 30,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326 : 13,883 = 13,883 : x
  2. Step 2: Convert to fraction form
    6,326/13,883 = 13,883/x
  3. Step 3: Cross multiply
    6,326x = 13,883 × 13,883
  4. Step 4: Simplify right side
    6,326x = 192,737,689
  5. Step 5: Solve for x
    x = 192,737,689/6,326
  6. Step 6: Final answer
    x = 30,467.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.