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Finding the Third Proportional to 4,896.56 and 11,556.84

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Solution

The third proportional to 4,896.56 and 11,556.84 is: 27,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.56 : 11,556.84 = 11,556.84 : x
  2. Step 2: Convert to fraction form
    4,896.56/11,556.84 = 11,556.84/x
  3. Step 3: Cross multiply
    4,896.56x = 11,556.84 × 11,556.84
  4. Step 4: Simplify right side
    4,896.56x = 133,560,637.46
  5. Step 5: Solve for x
    x = 133,560,637.46/4,896.56
  6. Step 6: Final answer
    x = 27,276.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.