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Finding the Third Proportional to 311,096 and 641,536

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Solution

The third proportional to 311,096 and 641,536 is: 1,322,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,096 : 641,536 = 641,536 : x
  2. Step 2: Convert to fraction form
    311,096/641,536 = 641,536/x
  3. Step 3: Cross multiply
    311,096x = 641,536 × 641,536
  4. Step 4: Simplify right side
    311,096x = 411,568,439,296
  5. Step 5: Solve for x
    x = 411,568,439,296/311,096
  6. Step 6: Final answer
    x = 1,322,962.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.