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Finding the Third Proportional to 12,211 and 21,167

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Solution

The third proportional to 12,211 and 21,167 is: 36,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211 : 21,167 = 21,167 : x
  2. Step 2: Convert to fraction form
    12,211/21,167 = 21,167/x
  3. Step 3: Cross multiply
    12,211x = 21,167 × 21,167
  4. Step 4: Simplify right side
    12,211x = 448,041,889
  5. Step 5: Solve for x
    x = 448,041,889/12,211
  6. Step 6: Final answer
    x = 36,691.66

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.