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Finding the Third Proportional to 66,753 and 146,619

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Solution

The third proportional to 66,753 and 146,619 is: 322,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,753 : 146,619 = 146,619 : x
  2. Step 2: Convert to fraction form
    66,753/146,619 = 146,619/x
  3. Step 3: Cross multiply
    66,753x = 146,619 × 146,619
  4. Step 4: Simplify right side
    66,753x = 21,497,131,161
  5. Step 5: Solve for x
    x = 21,497,131,161/66,753
  6. Step 6: Final answer
    x = 322,039.93

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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.