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Finding the Third Proportional to 49,586 and 103,183

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Solution

The third proportional to 49,586 and 103,183 is: 214,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,586 : 103,183 = 103,183 : x
  2. Step 2: Convert to fraction form
    49,586/103,183 = 103,183/x
  3. Step 3: Cross multiply
    49,586x = 103,183 × 103,183
  4. Step 4: Simplify right side
    49,586x = 10,646,731,489
  5. Step 5: Solve for x
    x = 10,646,731,489/49,586
  6. Step 6: Final answer
    x = 214,712.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.