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Finding the Third Proportional to 9,915 and 13,917

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Solution

The third proportional to 9,915 and 13,917 is: 19,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915 : 13,917 = 13,917 : x
  2. Step 2: Convert to fraction form
    9,915/13,917 = 13,917/x
  3. Step 3: Cross multiply
    9,915x = 13,917 × 13,917
  4. Step 4: Simplify right side
    9,915x = 193,682,889
  5. Step 5: Solve for x
    x = 193,682,889/9,915
  6. Step 6: Final answer
    x = 19,534.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.