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Finding the Third Proportional to 207,452 and 422,513

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Solution

The third proportional to 207,452 and 422,513 is: 860,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,452 : 422,513 = 422,513 : x
  2. Step 2: Convert to fraction form
    207,452/422,513 = 422,513/x
  3. Step 3: Cross multiply
    207,452x = 422,513 × 422,513
  4. Step 4: Simplify right side
    207,452x = 178,517,235,169
  5. Step 5: Solve for x
    x = 178,517,235,169/207,452
  6. Step 6: Final answer
    x = 860,523.09

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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.