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Finding the Third Proportional to 11,774 and 18,379

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Solution

The third proportional to 11,774 and 18,379 is: 28,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 18,379 = 18,379 : x
  2. Step 2: Convert to fraction form
    11,774/18,379 = 18,379/x
  3. Step 3: Cross multiply
    11,774x = 18,379 × 18,379
  4. Step 4: Simplify right side
    11,774x = 337,787,641
  5. Step 5: Solve for x
    x = 337,787,641/11,774
  6. Step 6: Final answer
    x = 28,689.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.