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Finding the Third Proportional to 204,093 and 440,982

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Solution

The third proportional to 204,093 and 440,982 is: 952,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,093 : 440,982 = 440,982 : x
  2. Step 2: Convert to fraction form
    204,093/440,982 = 440,982/x
  3. Step 3: Cross multiply
    204,093x = 440,982 × 440,982
  4. Step 4: Simplify right side
    204,093x = 194,465,124,324
  5. Step 5: Solve for x
    x = 194,465,124,324/204,093
  6. Step 6: Final answer
    x = 952,826.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.