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Finding the Third Proportional to 13,859 and 33,413

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Solution

The third proportional to 13,859 and 33,413 is: 80,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859 : 33,413 = 33,413 : x
  2. Step 2: Convert to fraction form
    13,859/33,413 = 33,413/x
  3. Step 3: Cross multiply
    13,859x = 33,413 × 33,413
  4. Step 4: Simplify right side
    13,859x = 1,116,428,569
  5. Step 5: Solve for x
    x = 1,116,428,569/13,859
  6. Step 6: Final answer
    x = 80,556.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.