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Finding the Third Proportional to 151,443 and 220,112

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Solution

The third proportional to 151,443 and 220,112 is: 319,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,443 : 220,112 = 220,112 : x
  2. Step 2: Convert to fraction form
    151,443/220,112 = 220,112/x
  3. Step 3: Cross multiply
    151,443x = 220,112 × 220,112
  4. Step 4: Simplify right side
    151,443x = 48,449,292,544
  5. Step 5: Solve for x
    x = 48,449,292,544/151,443
  6. Step 6: Final answer
    x = 319,917.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.