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Finding the Third Proportional to 311,661 and 673,164

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Solution

The third proportional to 311,661 and 673,164 is: 1,453,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,661 : 673,164 = 673,164 : x
  2. Step 2: Convert to fraction form
    311,661/673,164 = 673,164/x
  3. Step 3: Cross multiply
    311,661x = 673,164 × 673,164
  4. Step 4: Simplify right side
    311,661x = 453,149,770,896
  5. Step 5: Solve for x
    x = 453,149,770,896/311,661
  6. Step 6: Final answer
    x = 1,453,982.92

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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.