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Finding the Third Proportional to 203,615 and 443,371

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Solution

The third proportional to 203,615 and 443,371 is: 965,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,615 : 443,371 = 443,371 : x
  2. Step 2: Convert to fraction form
    203,615/443,371 = 443,371/x
  3. Step 3: Cross multiply
    203,615x = 443,371 × 443,371
  4. Step 4: Simplify right side
    203,615x = 196,577,843,641
  5. Step 5: Solve for x
    x = 196,577,843,641/203,615
  6. Step 6: Final answer
    x = 965,438.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.