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Finding the Third Proportional to 204,129 and 443,310.50

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Solution

The third proportional to 204,129 and 443,310.50 is: 962,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,129 : 443,310.50 = 443,310.50 : x
  2. Step 2: Convert to fraction form
    204,129/443,310.50 = 443,310.50/x
  3. Step 3: Cross multiply
    204,129x = 443,310.50 × 443,310.50
  4. Step 4: Simplify right side
    204,129x = 196,524,199,410.25
  5. Step 5: Solve for x
    x = 196,524,199,410.25/204,129
  6. Step 6: Final answer
    x = 962,745.12

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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.