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Finding the Third Proportional to 10,217 and 11,189

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Solution

The third proportional to 10,217 and 11,189 is: 12,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217 : 11,189 = 11,189 : x
  2. Step 2: Convert to fraction form
    10,217/11,189 = 11,189/x
  3. Step 3: Cross multiply
    10,217x = 11,189 × 11,189
  4. Step 4: Simplify right side
    10,217x = 125,193,721
  5. Step 5: Solve for x
    x = 125,193,721/10,217
  6. Step 6: Final answer
    x = 12,253.47

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.