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Finding the Third Proportional to 21,081 and 31,761

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Solution

The third proportional to 21,081 and 31,761 is: 47,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,081 : 31,761 = 31,761 : x
  2. Step 2: Convert to fraction form
    21,081/31,761 = 31,761/x
  3. Step 3: Cross multiply
    21,081x = 31,761 × 31,761
  4. Step 4: Simplify right side
    21,081x = 1,008,761,121
  5. Step 5: Solve for x
    x = 1,008,761,121/21,081
  6. Step 6: Final answer
    x = 47,851.67

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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.