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Finding the Third Proportional to 200,979 and 441,405

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Solution

The third proportional to 200,979 and 441,405 is: 969,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,979 : 441,405 = 441,405 : x
  2. Step 2: Convert to fraction form
    200,979/441,405 = 441,405/x
  3. Step 3: Cross multiply
    200,979x = 441,405 × 441,405
  4. Step 4: Simplify right side
    200,979x = 194,838,374,025
  5. Step 5: Solve for x
    x = 194,838,374,025/200,979
  6. Step 6: Final answer
    x = 969,446.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.