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Finding the Third Proportional to 11,874 and 25,050

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Solution

The third proportional to 11,874 and 25,050 is: 52,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874 : 25,050 = 25,050 : x
  2. Step 2: Convert to fraction form
    11,874/25,050 = 25,050/x
  3. Step 3: Cross multiply
    11,874x = 25,050 × 25,050
  4. Step 4: Simplify right side
    11,874x = 627,502,500
  5. Step 5: Solve for x
    x = 627,502,500/11,874
  6. Step 6: Final answer
    x = 52,846.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.