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Finding the Third Proportional to 20,138 and 31,431

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Solution

The third proportional to 20,138 and 31,431 is: 49,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 31,431 = 31,431 : x
  2. Step 2: Convert to fraction form
    20,138/31,431 = 31,431/x
  3. Step 3: Cross multiply
    20,138x = 31,431 × 31,431
  4. Step 4: Simplify right side
    20,138x = 987,907,761
  5. Step 5: Solve for x
    x = 987,907,761/20,138
  6. Step 6: Final answer
    x = 49,056.90

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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.