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Finding the Third Proportional to 11,763 and 25,062

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Solution

The third proportional to 11,763 and 25,062 is: 53,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763 : 25,062 = 25,062 : x
  2. Step 2: Convert to fraction form
    11,763/25,062 = 25,062/x
  3. Step 3: Cross multiply
    11,763x = 25,062 × 25,062
  4. Step 4: Simplify right side
    11,763x = 628,103,844
  5. Step 5: Solve for x
    x = 628,103,844/11,763
  6. Step 6: Final answer
    x = 53,396.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.