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Finding the Third Proportional to 69,124 and 161,866

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Solution

The third proportional to 69,124 and 161,866 is: 379,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,124 : 161,866 = 161,866 : x
  2. Step 2: Convert to fraction form
    69,124/161,866 = 161,866/x
  3. Step 3: Cross multiply
    69,124x = 161,866 × 161,866
  4. Step 4: Simplify right side
    69,124x = 26,200,601,956
  5. Step 5: Solve for x
    x = 26,200,601,956/69,124
  6. Step 6: Final answer
    x = 379,037.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.