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Finding the Third Proportional to 90,769.50 and 132,183

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Solution

The third proportional to 90,769.50 and 132,183 is: 192,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,769.50 : 132,183 = 132,183 : x
  2. Step 2: Convert to fraction form
    90,769.50/132,183 = 132,183/x
  3. Step 3: Cross multiply
    90,769.50x = 132,183 × 132,183
  4. Step 4: Simplify right side
    90,769.50x = 17,472,345,489
  5. Step 5: Solve for x
    x = 17,472,345,489/90,769.50
  6. Step 6: Final answer
    x = 192,491.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.