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Finding the Third Proportional to 11,561.48 and 23,943.09

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Solution

The third proportional to 11,561.48 and 23,943.09 is: 49,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.48 : 23,943.09 = 23,943.09 : x
  2. Step 2: Convert to fraction form
    11,561.48/23,943.09 = 23,943.09/x
  3. Step 3: Cross multiply
    11,561.48x = 23,943.09 × 23,943.09
  4. Step 4: Simplify right side
    11,561.48x = 573,271,738.32
  5. Step 5: Solve for x
    x = 573,271,738.32/11,561.48
  6. Step 6: Final answer
    x = 49,584.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.