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Finding the Third Proportional to 67,876 and 149,081

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Solution

The third proportional to 67,876 and 149,081 is: 327,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,876 : 149,081 = 149,081 : x
  2. Step 2: Convert to fraction form
    67,876/149,081 = 149,081/x
  3. Step 3: Cross multiply
    67,876x = 149,081 × 149,081
  4. Step 4: Simplify right side
    67,876x = 22,225,144,561
  5. Step 5: Solve for x
    x = 22,225,144,561/67,876
  6. Step 6: Final answer
    x = 327,437.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.