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Finding the Third Proportional to 207,811 and 447,404

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Solution

The third proportional to 207,811 and 447,404 is: 963,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,811 : 447,404 = 447,404 : x
  2. Step 2: Convert to fraction form
    207,811/447,404 = 447,404/x
  3. Step 3: Cross multiply
    207,811x = 447,404 × 447,404
  4. Step 4: Simplify right side
    207,811x = 200,170,339,216
  5. Step 5: Solve for x
    x = 200,170,339,216/207,811
  6. Step 6: Final answer
    x = 963,232.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.