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Finding the Third Proportional to 33,199.13 and 71,680.13

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Solution

The third proportional to 33,199.13 and 71,680.13 is: 154,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.13 : 71,680.13 = 71,680.13 : x
  2. Step 2: Convert to fraction form
    33,199.13/71,680.13 = 71,680.13/x
  3. Step 3: Cross multiply
    33,199.13x = 71,680.13 × 71,680.13
  4. Step 4: Simplify right side
    33,199.13x = 5,138,040,320.02
  5. Step 5: Solve for x
    x = 5,138,040,320.02/33,199.13
  6. Step 6: Final answer
    x = 154,764.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.