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Finding the Third Proportional to 33,592 and 51,194

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Solution

The third proportional to 33,592 and 51,194 is: 78,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,592 : 51,194 = 51,194 : x
  2. Step 2: Convert to fraction form
    33,592/51,194 = 51,194/x
  3. Step 3: Cross multiply
    33,592x = 51,194 × 51,194
  4. Step 4: Simplify right side
    33,592x = 2,620,825,636
  5. Step 5: Solve for x
    x = 2,620,825,636/33,592
  6. Step 6: Final answer
    x = 78,019.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.