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Finding the Third Proportional to 33,680 and 51,546

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Solution

The third proportional to 33,680 and 51,546 is: 78,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,680 : 51,546 = 51,546 : x
  2. Step 2: Convert to fraction form
    33,680/51,546 = 51,546/x
  3. Step 3: Cross multiply
    33,680x = 51,546 × 51,546
  4. Step 4: Simplify right side
    33,680x = 2,656,990,116
  5. Step 5: Solve for x
    x = 2,656,990,116/33,680
  6. Step 6: Final answer
    x = 78,889.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.