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Finding the Third Proportional to 8,257 and 18,019

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Solution

The third proportional to 8,257 and 18,019 is: 39,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 18,019 = 18,019 : x
  2. Step 2: Convert to fraction form
    8,257/18,019 = 18,019/x
  3. Step 3: Cross multiply
    8,257x = 18,019 × 18,019
  4. Step 4: Simplify right side
    8,257x = 324,684,361
  5. Step 5: Solve for x
    x = 324,684,361/8,257
  6. Step 6: Final answer
    x = 39,322.32

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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.