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Finding the Third Proportional to 67,839 and 149,211.75

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Solution

The third proportional to 67,839 and 149,211.75 is: 328,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,839 : 149,211.75 = 149,211.75 : x
  2. Step 2: Convert to fraction form
    67,839/149,211.75 = 149,211.75/x
  3. Step 3: Cross multiply
    67,839x = 149,211.75 × 149,211.75
  4. Step 4: Simplify right side
    67,839x = 22,264,146,338.06
  5. Step 5: Solve for x
    x = 22,264,146,338.06/67,839
  6. Step 6: Final answer
    x = 328,190.96

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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.