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Finding the Third Proportional to 311,956 and 638,697

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Solution

The third proportional to 311,956 and 638,697 is: 1,307,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956 : 638,697 = 638,697 : x
  2. Step 2: Convert to fraction form
    311,956/638,697 = 638,697/x
  3. Step 3: Cross multiply
    311,956x = 638,697 × 638,697
  4. Step 4: Simplify right side
    311,956x = 407,933,857,809
  5. Step 5: Solve for x
    x = 407,933,857,809/311,956
  6. Step 6: Final answer
    x = 1,307,664.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.