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Finding the Third Proportional to 5,111 and 11,419

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Solution

The third proportional to 5,111 and 11,419 is: 25,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111 : 11,419 = 11,419 : x
  2. Step 2: Convert to fraction form
    5,111/11,419 = 11,419/x
  3. Step 3: Cross multiply
    5,111x = 11,419 × 11,419
  4. Step 4: Simplify right side
    5,111x = 130,393,561
  5. Step 5: Solve for x
    x = 130,393,561/5,111
  6. Step 6: Final answer
    x = 25,512.34

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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.