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Finding the Third Proportional to 68,150 and 149,011

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Solution

The third proportional to 68,150 and 149,011 is: 325,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,150 : 149,011 = 149,011 : x
  2. Step 2: Convert to fraction form
    68,150/149,011 = 149,011/x
  3. Step 3: Cross multiply
    68,150x = 149,011 × 149,011
  4. Step 4: Simplify right side
    68,150x = 22,204,278,121
  5. Step 5: Solve for x
    x = 22,204,278,121/68,150
  6. Step 6: Final answer
    x = 325,814.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.