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Finding the Third Proportional to 307,678 and 667,844

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Solution

The third proportional to 307,678 and 667,844 is: 1,449,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,678 : 667,844 = 667,844 : x
  2. Step 2: Convert to fraction form
    307,678/667,844 = 667,844/x
  3. Step 3: Cross multiply
    307,678x = 667,844 × 667,844
  4. Step 4: Simplify right side
    307,678x = 446,015,608,336
  5. Step 5: Solve for x
    x = 446,015,608,336/307,678
  6. Step 6: Final answer
    x = 1,449,618.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.