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Finding the Third Proportional to 89,188 and 190,831

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Solution

The third proportional to 89,188 and 190,831 is: 408,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,188 : 190,831 = 190,831 : x
  2. Step 2: Convert to fraction form
    89,188/190,831 = 190,831/x
  3. Step 3: Cross multiply
    89,188x = 190,831 × 190,831
  4. Step 4: Simplify right side
    89,188x = 36,416,470,561
  5. Step 5: Solve for x
    x = 36,416,470,561/89,188
  6. Step 6: Final answer
    x = 408,311.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.