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Finding the Third Proportional to 9,917 and 21,467

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Solution

The third proportional to 9,917 and 21,467 is: 46,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917 : 21,467 = 21,467 : x
  2. Step 2: Convert to fraction form
    9,917/21,467 = 21,467/x
  3. Step 3: Cross multiply
    9,917x = 21,467 × 21,467
  4. Step 4: Simplify right side
    9,917x = 460,832,089
  5. Step 5: Solve for x
    x = 460,832,089/9,917
  6. Step 6: Final answer
    x = 46,468.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.