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Finding the Third Proportional to 25,511 and 55,121

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Solution

The third proportional to 25,511 and 55,121 is: 119,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511 : 55,121 = 55,121 : x
  2. Step 2: Convert to fraction form
    25,511/55,121 = 55,121/x
  3. Step 3: Cross multiply
    25,511x = 55,121 × 55,121
  4. Step 4: Simplify right side
    25,511x = 3,038,324,641
  5. Step 5: Solve for x
    x = 3,038,324,641/25,511
  6. Step 6: Final answer
    x = 119,098.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.