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Finding the Third Proportional to 18,581 and 39,682

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Solution

The third proportional to 18,581 and 39,682 is: 84,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581 : 39,682 = 39,682 : x
  2. Step 2: Convert to fraction form
    18,581/39,682 = 39,682/x
  3. Step 3: Cross multiply
    18,581x = 39,682 × 39,682
  4. Step 4: Simplify right side
    18,581x = 1,574,661,124
  5. Step 5: Solve for x
    x = 1,574,661,124/18,581
  6. Step 6: Final answer
    x = 84,745.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.