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Finding the Third Proportional to 207,980 and 447,485

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Solution

The third proportional to 207,980 and 447,485 is: 962,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,980 : 447,485 = 447,485 : x
  2. Step 2: Convert to fraction form
    207,980/447,485 = 447,485/x
  3. Step 3: Cross multiply
    207,980x = 447,485 × 447,485
  4. Step 4: Simplify right side
    207,980x = 200,242,825,225
  5. Step 5: Solve for x
    x = 200,242,825,225/207,980
  6. Step 6: Final answer
    x = 962,798.47

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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.