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Finding the Third Proportional to 206,372 and 451,628

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Solution

The third proportional to 206,372 and 451,628 is: 988,350.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,372 : 451,628 = 451,628 : x
  2. Step 2: Convert to fraction form
    206,372/451,628 = 451,628/x
  3. Step 3: Cross multiply
    206,372x = 451,628 × 451,628
  4. Step 4: Simplify right side
    206,372x = 203,967,850,384
  5. Step 5: Solve for x
    x = 203,967,850,384/206,372
  6. Step 6: Final answer
    x = 988,350.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.