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Finding the Third Proportional to 11,515.92 and 18,333.21

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Solution

The third proportional to 11,515.92 and 18,333.21 is: 29,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.92 : 18,333.21 = 18,333.21 : x
  2. Step 2: Convert to fraction form
    11,515.92/18,333.21 = 18,333.21/x
  3. Step 3: Cross multiply
    11,515.92x = 18,333.21 × 18,333.21
  4. Step 4: Simplify right side
    11,515.92x = 336,106,623.28
  5. Step 5: Solve for x
    x = 336,106,623.28/11,515.92
  6. Step 6: Final answer
    x = 29,186.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.