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Finding the Third Proportional to 20,183 and 31,501

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Solution

The third proportional to 20,183 and 31,501 is: 49,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183 : 31,501 = 31,501 : x
  2. Step 2: Convert to fraction form
    20,183/31,501 = 31,501/x
  3. Step 3: Cross multiply
    20,183x = 31,501 × 31,501
  4. Step 4: Simplify right side
    20,183x = 992,313,001
  5. Step 5: Solve for x
    x = 992,313,001/20,183
  6. Step 6: Final answer
    x = 49,165.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.