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Finding the Third Proportional to 298,163 and 451,983

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Solution

The third proportional to 298,163 and 451,983 is: 685,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,163 : 451,983 = 451,983 : x
  2. Step 2: Convert to fraction form
    298,163/451,983 = 451,983/x
  3. Step 3: Cross multiply
    298,163x = 451,983 × 451,983
  4. Step 4: Simplify right side
    298,163x = 204,288,632,289
  5. Step 5: Solve for x
    x = 204,288,632,289/298,163
  6. Step 6: Final answer
    x = 685,157.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.