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Finding the Third Proportional to 311,661 and 673,149

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Solution

The third proportional to 311,661 and 673,149 is: 1,453,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,661 : 673,149 = 673,149 : x
  2. Step 2: Convert to fraction form
    311,661/673,149 = 673,149/x
  3. Step 3: Cross multiply
    311,661x = 673,149 × 673,149
  4. Step 4: Simplify right side
    311,661x = 453,129,576,201
  5. Step 5: Solve for x
    x = 453,129,576,201/311,661
  6. Step 6: Final answer
    x = 1,453,918.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.