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Finding the Third Proportional to 206,743.50 and 450,405

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Solution

The third proportional to 206,743.50 and 450,405 is: 981,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,743.50 : 450,405 = 450,405 : x
  2. Step 2: Convert to fraction form
    206,743.50/450,405 = 450,405/x
  3. Step 3: Cross multiply
    206,743.50x = 450,405 × 450,405
  4. Step 4: Simplify right side
    206,743.50x = 202,864,664,025
  5. Step 5: Solve for x
    x = 202,864,664,025/206,743.50
  6. Step 6: Final answer
    x = 981,238.41

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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.