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Finding the Third Proportional to 8,463 and 18,867

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Solution

The third proportional to 8,463 and 18,867 is: 42,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463 : 18,867 = 18,867 : x
  2. Step 2: Convert to fraction form
    8,463/18,867 = 18,867/x
  3. Step 3: Cross multiply
    8,463x = 18,867 × 18,867
  4. Step 4: Simplify right side
    8,463x = 355,963,689
  5. Step 5: Solve for x
    x = 355,963,689/8,463
  6. Step 6: Final answer
    x = 42,061.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.