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Finding the Third Proportional to 135,958.50 and 206,934.75

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Solution

The third proportional to 135,958.50 and 206,934.75 is: 314,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,958.50 : 206,934.75 = 206,934.75 : x
  2. Step 2: Convert to fraction form
    135,958.50/206,934.75 = 206,934.75/x
  3. Step 3: Cross multiply
    135,958.50x = 206,934.75 × 206,934.75
  4. Step 4: Simplify right side
    135,958.50x = 42,821,990,757.56
  5. Step 5: Solve for x
    x = 42,821,990,757.56/135,958.50
  6. Step 6: Final answer
    x = 314,963.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.