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Finding the Third Proportional to 203,489 and 442,005

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Solution

The third proportional to 203,489 and 442,005 is: 960,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,489 : 442,005 = 442,005 : x
  2. Step 2: Convert to fraction form
    203,489/442,005 = 442,005/x
  3. Step 3: Cross multiply
    203,489x = 442,005 × 442,005
  4. Step 4: Simplify right side
    203,489x = 195,368,420,025
  5. Step 5: Solve for x
    x = 195,368,420,025/203,489
  6. Step 6: Final answer
    x = 960,093.27

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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.