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Finding the Third Proportional to 307,296 and 668,448

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Solution

The third proportional to 307,296 and 668,448 is: 1,454,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,296 : 668,448 = 668,448 : x
  2. Step 2: Convert to fraction form
    307,296/668,448 = 668,448/x
  3. Step 3: Cross multiply
    307,296x = 668,448 × 668,448
  4. Step 4: Simplify right side
    307,296x = 446,822,728,704
  5. Step 5: Solve for x
    x = 446,822,728,704/307,296
  6. Step 6: Final answer
    x = 1,454,046.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.