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Finding the Third Proportional to 89,670 and 135,177

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Solution

The third proportional to 89,670 and 135,177 is: 203,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,670 : 135,177 = 135,177 : x
  2. Step 2: Convert to fraction form
    89,670/135,177 = 135,177/x
  3. Step 3: Cross multiply
    89,670x = 135,177 × 135,177
  4. Step 4: Simplify right side
    89,670x = 18,272,821,329
  5. Step 5: Solve for x
    x = 18,272,821,329/89,670
  6. Step 6: Final answer
    x = 203,778.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.