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Finding the Third Proportional to 207,661 and 305,655

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Solution

The third proportional to 207,661 and 305,655 is: 449,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,661 : 305,655 = 305,655 : x
  2. Step 2: Convert to fraction form
    207,661/305,655 = 305,655/x
  3. Step 3: Cross multiply
    207,661x = 305,655 × 305,655
  4. Step 4: Simplify right side
    207,661x = 93,424,979,025
  5. Step 5: Solve for x
    x = 93,424,979,025/207,661
  6. Step 6: Final answer
    x = 449,891.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.