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Finding the Third Proportional to 100,212 and 161,178.75

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Solution

The third proportional to 100,212 and 161,178.75 is: 259,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212 : 161,178.75 = 161,178.75 : x
  2. Step 2: Convert to fraction form
    100,212/161,178.75 = 161,178.75/x
  3. Step 3: Cross multiply
    100,212x = 161,178.75 × 161,178.75
  4. Step 4: Simplify right side
    100,212x = 25,978,589,451.56
  5. Step 5: Solve for x
    x = 25,978,589,451.56/100,212
  6. Step 6: Final answer
    x = 259,236.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.