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Finding the Third Proportional to 451,620.75 and 660,475.97

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Solution

The third proportional to 451,620.75 and 660,475.97 is: 965,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,620.75 : 660,475.97 = 660,475.97 : x
  2. Step 2: Convert to fraction form
    451,620.75/660,475.97 = 660,475.97/x
  3. Step 3: Cross multiply
    451,620.75x = 660,475.97 × 660,475.97
  4. Step 4: Simplify right side
    451,620.75x = 436,228,505,296.25
  5. Step 5: Solve for x
    x = 436,228,505,296.25/451,620.75
  6. Step 6: Final answer
    x = 965,917.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.