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Finding the Third Proportional to 298,161 and 451,980

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Solution

The third proportional to 298,161 and 451,980 is: 685,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,161 : 451,980 = 451,980 : x
  2. Step 2: Convert to fraction form
    298,161/451,980 = 451,980/x
  3. Step 3: Cross multiply
    298,161x = 451,980 × 451,980
  4. Step 4: Simplify right side
    298,161x = 204,285,920,400
  5. Step 5: Solve for x
    x = 204,285,920,400/298,161
  6. Step 6: Final answer
    x = 685,153.06

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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.