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Finding the Third Proportional to 2,189 and 5,229

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Solution

The third proportional to 2,189 and 5,229 is: 12,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189 : 5,229 = 5,229 : x
  2. Step 2: Convert to fraction form
    2,189/5,229 = 5,229/x
  3. Step 3: Cross multiply
    2,189x = 5,229 × 5,229
  4. Step 4: Simplify right side
    2,189x = 27,342,441
  5. Step 5: Solve for x
    x = 27,342,441/2,189
  6. Step 6: Final answer
    x = 12,490.84

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.