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Finding the Third Proportional to 21,808 and 33,561

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Solution

The third proportional to 21,808 and 33,561 is: 51,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808 : 33,561 = 33,561 : x
  2. Step 2: Convert to fraction form
    21,808/33,561 = 33,561/x
  3. Step 3: Cross multiply
    21,808x = 33,561 × 33,561
  4. Step 4: Simplify right side
    21,808x = 1,126,340,721
  5. Step 5: Solve for x
    x = 1,126,340,721/21,808
  6. Step 6: Final answer
    x = 51,648.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.