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Finding the Third Proportional to 68,758 and 149,098

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Solution

The third proportional to 68,758 and 149,098 is: 323,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,758 : 149,098 = 149,098 : x
  2. Step 2: Convert to fraction form
    68,758/149,098 = 149,098/x
  3. Step 3: Cross multiply
    68,758x = 149,098 × 149,098
  4. Step 4: Simplify right side
    68,758x = 22,230,213,604
  5. Step 5: Solve for x
    x = 22,230,213,604/68,758
  6. Step 6: Final answer
    x = 323,310.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.