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Finding the Third Proportional to 108,619 and 227,170

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Solution

The third proportional to 108,619 and 227,170 is: 475,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,619 : 227,170 = 227,170 : x
  2. Step 2: Convert to fraction form
    108,619/227,170 = 227,170/x
  3. Step 3: Cross multiply
    108,619x = 227,170 × 227,170
  4. Step 4: Simplify right side
    108,619x = 51,606,208,900
  5. Step 5: Solve for x
    x = 51,606,208,900/108,619
  6. Step 6: Final answer
    x = 475,112.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.