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Finding the Third Proportional to 150,891 and 209,185

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Solution

The third proportional to 150,891 and 209,185 is: 289,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,891 : 209,185 = 209,185 : x
  2. Step 2: Convert to fraction form
    150,891/209,185 = 209,185/x
  3. Step 3: Cross multiply
    150,891x = 209,185 × 209,185
  4. Step 4: Simplify right side
    150,891x = 43,758,364,225
  5. Step 5: Solve for x
    x = 43,758,364,225/150,891
  6. Step 6: Final answer
    x = 289,999.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.