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Finding the Third Proportional to 105,194 and 218,151

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Solution

The third proportional to 105,194 and 218,151 is: 452,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194 : 218,151 = 218,151 : x
  2. Step 2: Convert to fraction form
    105,194/218,151 = 218,151/x
  3. Step 3: Cross multiply
    105,194x = 218,151 × 218,151
  4. Step 4: Simplify right side
    105,194x = 47,589,858,801
  5. Step 5: Solve for x
    x = 47,589,858,801/105,194
  6. Step 6: Final answer
    x = 452,400.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.