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Finding the Third Proportional to 25,508 and 55,115

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Solution

The third proportional to 25,508 and 55,115 is: 119,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508 : 55,115 = 55,115 : x
  2. Step 2: Convert to fraction form
    25,508/55,115 = 55,115/x
  3. Step 3: Cross multiply
    25,508x = 55,115 × 55,115
  4. Step 4: Simplify right side
    25,508x = 3,037,663,225
  5. Step 5: Solve for x
    x = 3,037,663,225/25,508
  6. Step 6: Final answer
    x = 119,086.69

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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.