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Finding the Third Proportional to 308,107.13 and 668,226.38

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Solution

The third proportional to 308,107.13 and 668,226.38 is: 1,449,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,107.13 : 668,226.38 = 668,226.38 : x
  2. Step 2: Convert to fraction form
    308,107.13/668,226.38 = 668,226.38/x
  3. Step 3: Cross multiply
    308,107.13x = 668,226.38 × 668,226.38
  4. Step 4: Simplify right side
    308,107.13x = 446,526,488,245.64
  5. Step 5: Solve for x
    x = 446,526,488,245.64/308,107.13
  6. Step 6: Final answer
    x = 1,449,257.26

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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.