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Finding the Third Proportional to 207,447.75 and 422,505

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Solution

The third proportional to 207,447.75 and 422,505 is: 860,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,447.75 : 422,505 = 422,505 : x
  2. Step 2: Convert to fraction form
    207,447.75/422,505 = 422,505/x
  3. Step 3: Cross multiply
    207,447.75x = 422,505 × 422,505
  4. Step 4: Simplify right side
    207,447.75x = 178,510,475,025
  5. Step 5: Solve for x
    x = 178,510,475,025/207,447.75
  6. Step 6: Final answer
    x = 860,508.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.