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Finding the Third Proportional to 5,431 and 11,149

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Solution

The third proportional to 5,431 and 11,149 is: 22,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 11,149 = 11,149 : x
  2. Step 2: Convert to fraction form
    5,431/11,149 = 11,149/x
  3. Step 3: Cross multiply
    5,431x = 11,149 × 11,149
  4. Step 4: Simplify right side
    5,431x = 124,300,201
  5. Step 5: Solve for x
    x = 124,300,201/5,431
  6. Step 6: Final answer
    x = 22,887.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.