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Finding the Third Proportional to 307,908 and 676,296

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Solution

The third proportional to 307,908 and 676,296 is: 1,485,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,908 : 676,296 = 676,296 : x
  2. Step 2: Convert to fraction form
    307,908/676,296 = 676,296/x
  3. Step 3: Cross multiply
    307,908x = 676,296 × 676,296
  4. Step 4: Simplify right side
    307,908x = 457,376,279,616
  5. Step 5: Solve for x
    x = 457,376,279,616/307,908
  6. Step 6: Final answer
    x = 1,485,431.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.