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Finding the Third Proportional to 11,518 and 25,121

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Solution

The third proportional to 11,518 and 25,121 is: 54,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 25,121 = 25,121 : x
  2. Step 2: Convert to fraction form
    11,518/25,121 = 25,121/x
  3. Step 3: Cross multiply
    11,518x = 25,121 × 25,121
  4. Step 4: Simplify right side
    11,518x = 631,064,641
  5. Step 5: Solve for x
    x = 631,064,641/11,518
  6. Step 6: Final answer
    x = 54,789.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.