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Finding the Third Proportional to 135,942 and 206,793

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Solution

The third proportional to 135,942 and 206,793 is: 314,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,942 : 206,793 = 206,793 : x
  2. Step 2: Convert to fraction form
    135,942/206,793 = 206,793/x
  3. Step 3: Cross multiply
    135,942x = 206,793 × 206,793
  4. Step 4: Simplify right side
    135,942x = 42,763,344,849
  5. Step 5: Solve for x
    x = 42,763,344,849/135,942
  6. Step 6: Final answer
    x = 314,570.51

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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.