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Finding the Third Proportional to 21,698 and 33,187

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Solution

The third proportional to 21,698 and 33,187 is: 50,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698 : 33,187 = 33,187 : x
  2. Step 2: Convert to fraction form
    21,698/33,187 = 33,187/x
  3. Step 3: Cross multiply
    21,698x = 33,187 × 33,187
  4. Step 4: Simplify right side
    21,698x = 1,101,376,969
  5. Step 5: Solve for x
    x = 1,101,376,969/21,698
  6. Step 6: Final answer
    x = 50,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.