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Finding the Third Proportional to 207,978 and 447,480

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Solution

The third proportional to 207,978 and 447,480 is: 962,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978 : 447,480 = 447,480 : x
  2. Step 2: Convert to fraction form
    207,978/447,480 = 447,480/x
  3. Step 3: Cross multiply
    207,978x = 447,480 × 447,480
  4. Step 4: Simplify right side
    207,978x = 200,238,350,400
  5. Step 5: Solve for x
    x = 200,238,350,400/207,978
  6. Step 6: Final answer
    x = 962,786.21

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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.