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Finding the Third Proportional to 33,399 and 51,786

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Solution

The third proportional to 33,399 and 51,786 is: 80,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,399 : 51,786 = 51,786 : x
  2. Step 2: Convert to fraction form
    33,399/51,786 = 51,786/x
  3. Step 3: Cross multiply
    33,399x = 51,786 × 51,786
  4. Step 4: Simplify right side
    33,399x = 2,681,789,796
  5. Step 5: Solve for x
    x = 2,681,789,796/33,399
  6. Step 6: Final answer
    x = 80,295.51

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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.