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Finding the Third Proportional to 135,965 and 206,589

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Solution

The third proportional to 135,965 and 206,589 is: 313,897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,965 : 206,589 = 206,589 : x
  2. Step 2: Convert to fraction form
    135,965/206,589 = 206,589/x
  3. Step 3: Cross multiply
    135,965x = 206,589 × 206,589
  4. Step 4: Simplify right side
    135,965x = 42,679,014,921
  5. Step 5: Solve for x
    x = 42,679,014,921/135,965
  6. Step 6: Final answer
    x = 313,897.07

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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.