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Finding the Third Proportional to 40,761 and 84,141

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Solution

The third proportional to 40,761 and 84,141 is: 173,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,761 : 84,141 = 84,141 : x
  2. Step 2: Convert to fraction form
    40,761/84,141 = 84,141/x
  3. Step 3: Cross multiply
    40,761x = 84,141 × 84,141
  4. Step 4: Simplify right side
    40,761x = 7,079,707,881
  5. Step 5: Solve for x
    x = 7,079,707,881/40,761
  6. Step 6: Final answer
    x = 173,688.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.