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Finding the Third Proportional to 66,761 and 146,635

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Solution

The third proportional to 66,761 and 146,635 is: 322,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761 : 146,635 = 146,635 : x
  2. Step 2: Convert to fraction form
    66,761/146,635 = 146,635/x
  3. Step 3: Cross multiply
    66,761x = 146,635 × 146,635
  4. Step 4: Simplify right side
    66,761x = 21,501,823,225
  5. Step 5: Solve for x
    x = 21,501,823,225/66,761
  6. Step 6: Final answer
    x = 322,071.62

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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.