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Finding the Third Proportional to 13,858 and 19,517

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Solution

The third proportional to 13,858 and 19,517 is: 27,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858 : 19,517 = 19,517 : x
  2. Step 2: Convert to fraction form
    13,858/19,517 = 19,517/x
  3. Step 3: Cross multiply
    13,858x = 19,517 × 19,517
  4. Step 4: Simplify right side
    13,858x = 380,913,289
  5. Step 5: Solve for x
    x = 380,913,289/13,858
  6. Step 6: Final answer
    x = 27,486.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.