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Finding the Third Proportional to 33,469 and 69,709

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Solution

The third proportional to 33,469 and 69,709 is: 145,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,469 : 69,709 = 69,709 : x
  2. Step 2: Convert to fraction form
    33,469/69,709 = 69,709/x
  3. Step 3: Cross multiply
    33,469x = 69,709 × 69,709
  4. Step 4: Simplify right side
    33,469x = 4,859,344,681
  5. Step 5: Solve for x
    x = 4,859,344,681/33,469
  6. Step 6: Final answer
    x = 145,189.42

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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.