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Finding the Third Proportional to 3,112.88 and 6,840.56

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Solution

The third proportional to 3,112.88 and 6,840.56 is: 15,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.88 : 6,840.56 = 6,840.56 : x
  2. Step 2: Convert to fraction form
    3,112.88/6,840.56 = 6,840.56/x
  3. Step 3: Cross multiply
    3,112.88x = 6,840.56 × 6,840.56
  4. Step 4: Simplify right side
    3,112.88x = 46,793,295.32
  5. Step 5: Solve for x
    x = 46,793,295.32/3,112.88
  6. Step 6: Final answer
    x = 15,032.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.