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Finding the Third Proportional to 25,419 and 55,745

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Solution

The third proportional to 25,419 and 55,745 is: 122,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419 : 55,745 = 55,745 : x
  2. Step 2: Convert to fraction form
    25,419/55,745 = 55,745/x
  3. Step 3: Cross multiply
    25,419x = 55,745 × 55,745
  4. Step 4: Simplify right side
    25,419x = 3,107,505,025
  5. Step 5: Solve for x
    x = 3,107,505,025/25,419
  6. Step 6: Final answer
    x = 122,251.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.