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Finding the Third Proportional to 11,557.69 and 18,321.19

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Solution

The third proportional to 11,557.69 and 18,321.19 is: 29,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.69 : 18,321.19 = 18,321.19 : x
  2. Step 2: Convert to fraction form
    11,557.69/18,321.19 = 18,321.19/x
  3. Step 3: Cross multiply
    11,557.69x = 18,321.19 × 18,321.19
  4. Step 4: Simplify right side
    11,557.69x = 335,665,911.41
  5. Step 5: Solve for x
    x = 335,665,911.41/11,557.69
  6. Step 6: Final answer
    x = 29,042.65

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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.