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Finding the Third Proportional to 20,954 and 31,683

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Solution

The third proportional to 20,954 and 31,683 is: 47,905.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954 : 31,683 = 31,683 : x
  2. Step 2: Convert to fraction form
    20,954/31,683 = 31,683/x
  3. Step 3: Cross multiply
    20,954x = 31,683 × 31,683
  4. Step 4: Simplify right side
    20,954x = 1,003,812,489
  5. Step 5: Solve for x
    x = 1,003,812,489/20,954
  6. Step 6: Final answer
    x = 47,905.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.