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Finding the Third Proportional to 20,135 and 31,983

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Solution

The third proportional to 20,135 and 31,983 is: 50,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135 : 31,983 = 31,983 : x
  2. Step 2: Convert to fraction form
    20,135/31,983 = 31,983/x
  3. Step 3: Cross multiply
    20,135x = 31,983 × 31,983
  4. Step 4: Simplify right side
    20,135x = 1,022,912,289
  5. Step 5: Solve for x
    x = 1,022,912,289/20,135
  6. Step 6: Final answer
    x = 50,802.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.