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Finding the Third Proportional to 33,780 and 81,276

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Solution

The third proportional to 33,780 and 81,276 is: 195,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,780 : 81,276 = 81,276 : x
  2. Step 2: Convert to fraction form
    33,780/81,276 = 81,276/x
  3. Step 3: Cross multiply
    33,780x = 81,276 × 81,276
  4. Step 4: Simplify right side
    33,780x = 6,605,788,176
  5. Step 5: Solve for x
    x = 6,605,788,176/33,780
  6. Step 6: Final answer
    x = 195,553.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.