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Finding the Third Proportional to 6,986 and 18,221

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Solution

The third proportional to 6,986 and 18,221 is: 47,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986 : 18,221 = 18,221 : x
  2. Step 2: Convert to fraction form
    6,986/18,221 = 18,221/x
  3. Step 3: Cross multiply
    6,986x = 18,221 × 18,221
  4. Step 4: Simplify right side
    6,986x = 332,004,841
  5. Step 5: Solve for x
    x = 332,004,841/6,986
  6. Step 6: Final answer
    x = 47,524.31

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.