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Finding the Third Proportional to 67,876 and 74,029

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Solution

The third proportional to 67,876 and 74,029 is: 80,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876 : 74,029 = 74,029 : x
  2. Step 2: Convert to fraction form
    67,876/74,029 = 74,029/x
  3. Step 3: Cross multiply
    67,876x = 74,029 × 74,029
  4. Step 4: Simplify right side
    67,876x = 5,480,292,841
  5. Step 5: Solve for x
    x = 5,480,292,841/67,876
  6. Step 6: Final answer
    x = 80,739.77

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.