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Finding the Third Proportional to 85,589 and 133,047

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Solution

The third proportional to 85,589 and 133,047 is: 206,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,589 : 133,047 = 133,047 : x
  2. Step 2: Convert to fraction form
    85,589/133,047 = 133,047/x
  3. Step 3: Cross multiply
    85,589x = 133,047 × 133,047
  4. Step 4: Simplify right side
    85,589x = 17,701,504,209
  5. Step 5: Solve for x
    x = 17,701,504,209/85,589
  6. Step 6: Final answer
    x = 206,819.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.