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Finding the Third Proportional to 33,396 and 69,548

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Solution

The third proportional to 33,396 and 69,548 is: 144,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,396 : 69,548 = 69,548 : x
  2. Step 2: Convert to fraction form
    33,396/69,548 = 69,548/x
  3. Step 3: Cross multiply
    33,396x = 69,548 × 69,548
  4. Step 4: Simplify right side
    33,396x = 4,836,924,304
  5. Step 5: Solve for x
    x = 4,836,924,304/33,396
  6. Step 6: Final answer
    x = 144,835.44

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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.