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Finding the Third Proportional to 23,823 and 31,326.75

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Solution

The third proportional to 23,823 and 31,326.75 is: 41,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823 : 31,326.75 = 31,326.75 : x
  2. Step 2: Convert to fraction form
    23,823/31,326.75 = 31,326.75/x
  3. Step 3: Cross multiply
    23,823x = 31,326.75 × 31,326.75
  4. Step 4: Simplify right side
    23,823x = 981,365,265.56
  5. Step 5: Solve for x
    x = 981,365,265.56/23,823
  6. Step 6: Final answer
    x = 41,194.03

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.