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Finding the Third Proportional to 33,691 and 69,328

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Solution

The third proportional to 33,691 and 69,328 is: 142,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691 : 69,328 = 69,328 : x
  2. Step 2: Convert to fraction form
    33,691/69,328 = 69,328/x
  3. Step 3: Cross multiply
    33,691x = 69,328 × 69,328
  4. Step 4: Simplify right side
    33,691x = 4,806,371,584
  5. Step 5: Solve for x
    x = 4,806,371,584/33,691
  6. Step 6: Final answer
    x = 142,660.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.