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Finding the Third Proportional to 311,157 and 669,609

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Solution

The third proportional to 311,157 and 669,609 is: 1,440,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,157 : 669,609 = 669,609 : x
  2. Step 2: Convert to fraction form
    311,157/669,609 = 669,609/x
  3. Step 3: Cross multiply
    311,157x = 669,609 × 669,609
  4. Step 4: Simplify right side
    311,157x = 448,376,212,881
  5. Step 5: Solve for x
    x = 448,376,212,881/311,157
  6. Step 6: Final answer
    x = 1,440,996.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.