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Finding the Third Proportional to 207,456 and 422,520

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Solution

The third proportional to 207,456 and 422,520 is: 860,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,456 : 422,520 = 422,520 : x
  2. Step 2: Convert to fraction form
    207,456/422,520 = 422,520/x
  3. Step 3: Cross multiply
    207,456x = 422,520 × 422,520
  4. Step 4: Simplify right side
    207,456x = 178,523,150,400
  5. Step 5: Solve for x
    x = 178,523,150,400/207,456
  6. Step 6: Final answer
    x = 860,535.01

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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.