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Finding the Third Proportional to 33,808 and 78,382

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Solution

The third proportional to 33,808 and 78,382 is: 181,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,808 : 78,382 = 78,382 : x
  2. Step 2: Convert to fraction form
    33,808/78,382 = 78,382/x
  3. Step 3: Cross multiply
    33,808x = 78,382 × 78,382
  4. Step 4: Simplify right side
    33,808x = 6,143,737,924
  5. Step 5: Solve for x
    x = 6,143,737,924/33,808
  6. Step 6: Final answer
    x = 181,724.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.