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Finding the Third Proportional to 307,704 and 667,896

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Solution

The third proportional to 307,704 and 667,896 is: 1,449,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,704 : 667,896 = 667,896 : x
  2. Step 2: Convert to fraction form
    307,704/667,896 = 667,896/x
  3. Step 3: Cross multiply
    307,704x = 667,896 × 667,896
  4. Step 4: Simplify right side
    307,704x = 446,085,066,816
  5. Step 5: Solve for x
    x = 446,085,066,816/307,704
  6. Step 6: Final answer
    x = 1,449,721.38

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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.