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Finding the Third Proportional to 33,779 and 78,190.31

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Solution

The third proportional to 33,779 and 78,190.31 is: 180,991.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,779 : 78,190.31 = 78,190.31 : x
  2. Step 2: Convert to fraction form
    33,779/78,190.31 = 78,190.31/x
  3. Step 3: Cross multiply
    33,779x = 78,190.31 × 78,190.31
  4. Step 4: Simplify right side
    33,779x = 6,113,724,968.85
  5. Step 5: Solve for x
    x = 6,113,724,968.85/33,779
  6. Step 6: Final answer
    x = 180,991.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.