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Finding the Third Proportional to 33,793.50 and 78,226.50

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Solution

The third proportional to 33,793.50 and 78,226.50 is: 181,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793.50 : 78,226.50 = 78,226.50 : x
  2. Step 2: Convert to fraction form
    33,793.50/78,226.50 = 78,226.50/x
  3. Step 3: Cross multiply
    33,793.50x = 78,226.50 × 78,226.50
  4. Step 4: Simplify right side
    33,793.50x = 6,119,385,302.25
  5. Step 5: Solve for x
    x = 6,119,385,302.25/33,793.50
  6. Step 6: Final answer
    x = 181,081.73

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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.