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Finding the Third Proportional to 11,512.13 and 18,382.57

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Solution

The third proportional to 11,512.13 and 18,382.57 is: 29,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.13 : 18,382.57 = 18,382.57 : x
  2. Step 2: Convert to fraction form
    11,512.13/18,382.57 = 18,382.57/x
  3. Step 3: Cross multiply
    11,512.13x = 18,382.57 × 18,382.57
  4. Step 4: Simplify right side
    11,512.13x = 337,918,891.29
  5. Step 5: Solve for x
    x = 337,918,891.29/11,512.13
  6. Step 6: Final answer
    x = 29,353.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.