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Finding the Third Proportional to 33,829 and 52,377

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Solution

The third proportional to 33,829 and 52,377 is: 81,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829 : 52,377 = 52,377 : x
  2. Step 2: Convert to fraction form
    33,829/52,377 = 52,377/x
  3. Step 3: Cross multiply
    33,829x = 52,377 × 52,377
  4. Step 4: Simplify right side
    33,829x = 2,743,350,129
  5. Step 5: Solve for x
    x = 2,743,350,129/33,829
  6. Step 6: Final answer
    x = 81,094.63

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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.