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Finding the Third Proportional to 92,433 and 199,112

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Solution

The third proportional to 92,433 and 199,112 is: 428,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,433 : 199,112 = 199,112 : x
  2. Step 2: Convert to fraction form
    92,433/199,112 = 199,112/x
  3. Step 3: Cross multiply
    92,433x = 199,112 × 199,112
  4. Step 4: Simplify right side
    92,433x = 39,645,588,544
  5. Step 5: Solve for x
    x = 39,645,588,544/92,433
  6. Step 6: Final answer
    x = 428,911.63

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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.