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Finding the Third Proportional to 33,620 and 47,876

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Solution

The third proportional to 33,620 and 47,876 is: 68,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,620 : 47,876 = 47,876 : x
  2. Step 2: Convert to fraction form
    33,620/47,876 = 47,876/x
  3. Step 3: Cross multiply
    33,620x = 47,876 × 47,876
  4. Step 4: Simplify right side
    33,620x = 2,292,111,376
  5. Step 5: Solve for x
    x = 2,292,111,376/33,620
  6. Step 6: Final answer
    x = 68,177.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.