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Finding the Third Proportional to 11,969 and 25,378

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Solution

The third proportional to 11,969 and 25,378 is: 53,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969 : 25,378 = 25,378 : x
  2. Step 2: Convert to fraction form
    11,969/25,378 = 25,378/x
  3. Step 3: Cross multiply
    11,969x = 25,378 × 25,378
  4. Step 4: Simplify right side
    11,969x = 644,042,884
  5. Step 5: Solve for x
    x = 644,042,884/11,969
  6. Step 6: Final answer
    x = 53,809.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.