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Finding the Third Proportional to 11,763 and 27,752

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Solution

The third proportional to 11,763 and 27,752 is: 65,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 27,752 = 27,752 : x
  2. Step 2: Convert to fraction form
    11,763/27,752 = 27,752/x
  3. Step 3: Cross multiply
    11,763x = 27,752 × 27,752
  4. Step 4: Simplify right side
    11,763x = 770,173,504
  5. Step 5: Solve for x
    x = 770,173,504/11,763
  6. Step 6: Final answer
    x = 65,474.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.