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Finding the Third Proportional to 207,620 and 452,761

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Solution

The third proportional to 207,620 and 452,761 is: 987,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,620 : 452,761 = 452,761 : x
  2. Step 2: Convert to fraction form
    207,620/452,761 = 452,761/x
  3. Step 3: Cross multiply
    207,620x = 452,761 × 452,761
  4. Step 4: Simplify right side
    207,620x = 204,992,523,121
  5. Step 5: Solve for x
    x = 204,992,523,121/207,620
  6. Step 6: Final answer
    x = 987,344.78

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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.