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Finding the Third Proportional to 13,911.75 and 20,556.28

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Solution

The third proportional to 13,911.75 and 20,556.28 is: 30,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.75 : 20,556.28 = 20,556.28 : x
  2. Step 2: Convert to fraction form
    13,911.75/20,556.28 = 20,556.28/x
  3. Step 3: Cross multiply
    13,911.75x = 20,556.28 × 20,556.28
  4. Step 4: Simplify right side
    13,911.75x = 422,560,698.83
  5. Step 5: Solve for x
    x = 422,560,698.83/13,911.75
  6. Step 6: Final answer
    x = 30,374.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.