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Finding the Third Proportional to 18,682 and 38,948

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Solution

The third proportional to 18,682 and 38,948 is: 81,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 38,948 = 38,948 : x
  2. Step 2: Convert to fraction form
    18,682/38,948 = 38,948/x
  3. Step 3: Cross multiply
    18,682x = 38,948 × 38,948
  4. Step 4: Simplify right side
    18,682x = 1,516,946,704
  5. Step 5: Solve for x
    x = 1,516,946,704/18,682
  6. Step 6: Final answer
    x = 81,198.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.