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Finding the Third Proportional to 137,606 and 303,149

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Solution

The third proportional to 137,606 and 303,149 is: 667,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,606 : 303,149 = 303,149 : x
  2. Step 2: Convert to fraction form
    137,606/303,149 = 303,149/x
  3. Step 3: Cross multiply
    137,606x = 303,149 × 303,149
  4. Step 4: Simplify right side
    137,606x = 91,899,316,201
  5. Step 5: Solve for x
    x = 91,899,316,201/137,606
  6. Step 6: Final answer
    x = 667,843.82

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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.