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Finding the Third Proportional to 21,779 and 33,651

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Solution

The third proportional to 21,779 and 33,651 is: 51,994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,779 : 33,651 = 33,651 : x
  2. Step 2: Convert to fraction form
    21,779/33,651 = 33,651/x
  3. Step 3: Cross multiply
    21,779x = 33,651 × 33,651
  4. Step 4: Simplify right side
    21,779x = 1,132,389,801
  5. Step 5: Solve for x
    x = 1,132,389,801/21,779
  6. Step 6: Final answer
    x = 51,994.57

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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.