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Finding the Third Proportional to 3,042.98 and 6,540.33

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Solution

The third proportional to 3,042.98 and 6,540.33 is: 14,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.98 : 6,540.33 = 6,540.33 : x
  2. Step 2: Convert to fraction form
    3,042.98/6,540.33 = 6,540.33/x
  3. Step 3: Cross multiply
    3,042.98x = 6,540.33 × 6,540.33
  4. Step 4: Simplify right side
    3,042.98x = 42,775,891.98
  5. Step 5: Solve for x
    x = 42,775,891.98/3,042.98
  6. Step 6: Final answer
    x = 14,057.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.