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Finding the Third Proportional to 40,682 and 85,738

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Solution

The third proportional to 40,682 and 85,738 is: 180,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682 : 85,738 = 85,738 : x
  2. Step 2: Convert to fraction form
    40,682/85,738 = 85,738/x
  3. Step 3: Cross multiply
    40,682x = 85,738 × 85,738
  4. Step 4: Simplify right side
    40,682x = 7,351,004,644
  5. Step 5: Solve for x
    x = 7,351,004,644/40,682
  6. Step 6: Final answer
    x = 180,694.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.