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Finding the Third Proportional to 307,674 and 667,836

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Solution

The third proportional to 307,674 and 667,836 is: 1,449,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,674 : 667,836 = 667,836 : x
  2. Step 2: Convert to fraction form
    307,674/667,836 = 667,836/x
  3. Step 3: Cross multiply
    307,674x = 667,836 × 667,836
  4. Step 4: Simplify right side
    307,674x = 446,004,922,896
  5. Step 5: Solve for x
    x = 446,004,922,896/307,674
  6. Step 6: Final answer
    x = 1,449,602.25

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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.