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Finding the Third Proportional to 428,764.50 and 667,629

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Solution

The third proportional to 428,764.50 and 667,629 is: 1,039,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,764.50 : 667,629 = 667,629 : x
  2. Step 2: Convert to fraction form
    428,764.50/667,629 = 667,629/x
  3. Step 3: Cross multiply
    428,764.50x = 667,629 × 667,629
  4. Step 4: Simplify right side
    428,764.50x = 445,728,481,641
  5. Step 5: Solve for x
    x = 445,728,481,641/428,764.50
  6. Step 6: Final answer
    x = 1,039,564.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.