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Finding the Third Proportional to 111,204 and 172,125

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Solution

The third proportional to 111,204 and 172,125 is: 266,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,204 : 172,125 = 172,125 : x
  2. Step 2: Convert to fraction form
    111,204/172,125 = 172,125/x
  3. Step 3: Cross multiply
    111,204x = 172,125 × 172,125
  4. Step 4: Simplify right side
    111,204x = 29,627,015,625
  5. Step 5: Solve for x
    x = 29,627,015,625/111,204
  6. Step 6: Final answer
    x = 266,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.