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Finding the Third Proportional to 85,189 and 133,644

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Solution

The third proportional to 85,189 and 133,644 is: 209,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,189 : 133,644 = 133,644 : x
  2. Step 2: Convert to fraction form
    85,189/133,644 = 133,644/x
  3. Step 3: Cross multiply
    85,189x = 133,644 × 133,644
  4. Step 4: Simplify right side
    85,189x = 17,860,718,736
  5. Step 5: Solve for x
    x = 17,860,718,736/85,189
  6. Step 6: Final answer
    x = 209,659.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.