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Finding the Third Proportional to 21,908 and 33,891

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Solution

The third proportional to 21,908 and 33,891 is: 52,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908 : 33,891 = 33,891 : x
  2. Step 2: Convert to fraction form
    21,908/33,891 = 33,891/x
  3. Step 3: Cross multiply
    21,908x = 33,891 × 33,891
  4. Step 4: Simplify right side
    21,908x = 1,148,599,881
  5. Step 5: Solve for x
    x = 1,148,599,881/21,908
  6. Step 6: Final answer
    x = 52,428.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.