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Finding the Third Proportional to 33,469.88 and 69,711.75

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Solution

The third proportional to 33,469.88 and 69,711.75 is: 145,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469.88 : 69,711.75 = 69,711.75 : x
  2. Step 2: Convert to fraction form
    33,469.88/69,711.75 = 69,711.75/x
  3. Step 3: Cross multiply
    33,469.88x = 69,711.75 × 69,711.75
  4. Step 4: Simplify right side
    33,469.88x = 4,859,728,088.06
  5. Step 5: Solve for x
    x = 4,859,728,088.06/33,469.88
  6. Step 6: Final answer
    x = 145,197.08

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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.