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Finding the Third Proportional to 67,876 and 144,767

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Solution

The third proportional to 67,876 and 144,767 is: 308,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876 : 144,767 = 144,767 : x
  2. Step 2: Convert to fraction form
    67,876/144,767 = 144,767/x
  3. Step 3: Cross multiply
    67,876x = 144,767 × 144,767
  4. Step 4: Simplify right side
    67,876x = 20,957,484,289
  5. Step 5: Solve for x
    x = 20,957,484,289/67,876
  6. Step 6: Final answer
    x = 308,761.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.