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Finding the Third Proportional to 33,208 and 51,420

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Solution

The third proportional to 33,208 and 51,420 is: 79,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208 : 51,420 = 51,420 : x
  2. Step 2: Convert to fraction form
    33,208/51,420 = 51,420/x
  3. Step 3: Cross multiply
    33,208x = 51,420 × 51,420
  4. Step 4: Simplify right side
    33,208x = 2,644,016,400
  5. Step 5: Solve for x
    x = 2,644,016,400/33,208
  6. Step 6: Final answer
    x = 79,619.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.