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Finding the Third Proportional to 9,286 and 19,867

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Solution

The third proportional to 9,286 and 19,867 is: 42,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286 : 19,867 = 19,867 : x
  2. Step 2: Convert to fraction form
    9,286/19,867 = 19,867/x
  3. Step 3: Cross multiply
    9,286x = 19,867 × 19,867
  4. Step 4: Simplify right side
    9,286x = 394,697,689
  5. Step 5: Solve for x
    x = 394,697,689/9,286
  6. Step 6: Final answer
    x = 42,504.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.