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Finding the Third Proportional to 300,771.88 and 668,791.25

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Solution

The third proportional to 300,771.88 and 668,791.25 is: 1,487,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,771.88 : 668,791.25 = 668,791.25 : x
  2. Step 2: Convert to fraction form
    300,771.88/668,791.25 = 668,791.25/x
  3. Step 3: Cross multiply
    300,771.88x = 668,791.25 × 668,791.25
  4. Step 4: Simplify right side
    300,771.88x = 447,281,736,076.56
  5. Step 5: Solve for x
    x = 447,281,736,076.56/300,771.88
  6. Step 6: Final answer
    x = 1,487,112.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.