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Finding the Third Proportional to 12,917 and 16,823

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Solution

The third proportional to 12,917 and 16,823 is: 21,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917 : 16,823 = 16,823 : x
  2. Step 2: Convert to fraction form
    12,917/16,823 = 16,823/x
  3. Step 3: Cross multiply
    12,917x = 16,823 × 16,823
  4. Step 4: Simplify right side
    12,917x = 283,013,329
  5. Step 5: Solve for x
    x = 283,013,329/12,917
  6. Step 6: Final answer
    x = 21,910.14

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.