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Finding the Third Proportional to 18,122 and 25,855

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Solution

The third proportional to 18,122 and 25,855 is: 36,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122 : 25,855 = 25,855 : x
  2. Step 2: Convert to fraction form
    18,122/25,855 = 25,855/x
  3. Step 3: Cross multiply
    18,122x = 25,855 × 25,855
  4. Step 4: Simplify right side
    18,122x = 668,481,025
  5. Step 5: Solve for x
    x = 668,481,025/18,122
  6. Step 6: Final answer
    x = 36,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.