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Finding the Third Proportional to 136,845 and 204,717

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Solution

The third proportional to 136,845 and 204,717 is: 306,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,845 : 204,717 = 204,717 : x
  2. Step 2: Convert to fraction form
    136,845/204,717 = 204,717/x
  3. Step 3: Cross multiply
    136,845x = 204,717 × 204,717
  4. Step 4: Simplify right side
    136,845x = 41,909,050,089
  5. Step 5: Solve for x
    x = 41,909,050,089/136,845
  6. Step 6: Final answer
    x = 306,251.96

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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.