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Finding the Third Proportional to 207,978 and 447,481

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Solution

The third proportional to 207,978 and 447,481 is: 962,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978 : 447,481 = 447,481 : x
  2. Step 2: Convert to fraction form
    207,978/447,481 = 447,481/x
  3. Step 3: Cross multiply
    207,978x = 447,481 × 447,481
  4. Step 4: Simplify right side
    207,978x = 200,239,245,361
  5. Step 5: Solve for x
    x = 200,239,245,361/207,978
  6. Step 6: Final answer
    x = 962,790.51

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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.