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Finding the Third Proportional to 92,538 and 199,134

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Solution

The third proportional to 92,538 and 199,134 is: 428,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,538 : 199,134 = 199,134 : x
  2. Step 2: Convert to fraction form
    92,538/199,134 = 199,134/x
  3. Step 3: Cross multiply
    92,538x = 199,134 × 199,134
  4. Step 4: Simplify right side
    92,538x = 39,654,349,956
  5. Step 5: Solve for x
    x = 39,654,349,956/92,538
  6. Step 6: Final answer
    x = 428,519.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.