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Finding the Third Proportional to 428,540.06 and 892,548.56

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Solution

The third proportional to 428,540.06 and 892,548.56 is: 1,858,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,540.06 : 892,548.56 = 892,548.56 : x
  2. Step 2: Convert to fraction form
    428,540.06/892,548.56 = 892,548.56/x
  3. Step 3: Cross multiply
    428,540.06x = 892,548.56 × 892,548.56
  4. Step 4: Simplify right side
    428,540.06x = 796,642,936,420.82
  5. Step 5: Solve for x
    x = 796,642,936,420.82/428,540.06
  6. Step 6: Final answer
    x = 1,858,969.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.