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Finding the Third Proportional to 66,558 and 146,505

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Solution

The third proportional to 66,558 and 146,505 is: 322,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,558 : 146,505 = 146,505 : x
  2. Step 2: Convert to fraction form
    66,558/146,505 = 146,505/x
  3. Step 3: Cross multiply
    66,558x = 146,505 × 146,505
  4. Step 4: Simplify right side
    66,558x = 21,463,715,025
  5. Step 5: Solve for x
    x = 21,463,715,025/66,558
  6. Step 6: Final answer
    x = 322,481.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.