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Finding the Third Proportional to 135,990 and 204,106

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Solution

The third proportional to 135,990 and 204,106 is: 306,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,990 : 204,106 = 204,106 : x
  2. Step 2: Convert to fraction form
    135,990/204,106 = 204,106/x
  3. Step 3: Cross multiply
    135,990x = 204,106 × 204,106
  4. Step 4: Simplify right side
    135,990x = 41,659,259,236
  5. Step 5: Solve for x
    x = 41,659,259,236/135,990
  6. Step 6: Final answer
    x = 306,340.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.