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Finding the Third Proportional to 6,110.44 and 12,744.84

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Solution

The third proportional to 6,110.44 and 12,744.84 is: 26,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.44 : 12,744.84 = 12,744.84 : x
  2. Step 2: Convert to fraction form
    6,110.44/12,744.84 = 12,744.84/x
  3. Step 3: Cross multiply
    6,110.44x = 12,744.84 × 12,744.84
  4. Step 4: Simplify right side
    6,110.44x = 162,431,042.21
  5. Step 5: Solve for x
    x = 162,431,042.21/6,110.44
  6. Step 6: Final answer
    x = 26,582.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.