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Finding the Third Proportional to 90,891 and 190,134

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Solution

The third proportional to 90,891 and 190,134 is: 397,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,891 : 190,134 = 190,134 : x
  2. Step 2: Convert to fraction form
    90,891/190,134 = 190,134/x
  3. Step 3: Cross multiply
    90,891x = 190,134 × 190,134
  4. Step 4: Simplify right side
    90,891x = 36,150,937,956
  5. Step 5: Solve for x
    x = 36,150,937,956/90,891
  6. Step 6: Final answer
    x = 397,739.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.