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Finding the Third Proportional to 2,511.56 and 5,409.56

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Solution

The third proportional to 2,511.56 and 5,409.56 is: 11,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.56 : 5,409.56 = 5,409.56 : x
  2. Step 2: Convert to fraction form
    2,511.56/5,409.56 = 5,409.56/x
  3. Step 3: Cross multiply
    2,511.56x = 5,409.56 × 5,409.56
  4. Step 4: Simplify right side
    2,511.56x = 29,263,366.44
  5. Step 5: Solve for x
    x = 29,263,366.44/2,511.56
  6. Step 6: Final answer
    x = 11,651.46

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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.