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Finding the Third Proportional to 33,511 and 69,779

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Solution

The third proportional to 33,511 and 69,779 is: 145,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,511 : 69,779 = 69,779 : x
  2. Step 2: Convert to fraction form
    33,511/69,779 = 69,779/x
  3. Step 3: Cross multiply
    33,511x = 69,779 × 69,779
  4. Step 4: Simplify right side
    33,511x = 4,869,108,841
  5. Step 5: Solve for x
    x = 4,869,108,841/33,511
  6. Step 6: Final answer
    x = 145,298.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.