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Finding the Third Proportional to 18,774 and 30,195

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Solution

The third proportional to 18,774 and 30,195 is: 48,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,774 : 30,195 = 30,195 : x
  2. Step 2: Convert to fraction form
    18,774/30,195 = 30,195/x
  3. Step 3: Cross multiply
    18,774x = 30,195 × 30,195
  4. Step 4: Simplify right side
    18,774x = 911,738,025
  5. Step 5: Solve for x
    x = 911,738,025/18,774
  6. Step 6: Final answer
    x = 48,563.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.