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Finding the Third Proportional to 6,826.78 and 10,219.92

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Solution

The third proportional to 6,826.78 and 10,219.92 is: 15,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.78 : 10,219.92 = 10,219.92 : x
  2. Step 2: Convert to fraction form
    6,826.78/10,219.92 = 10,219.92/x
  3. Step 3: Cross multiply
    6,826.78x = 10,219.92 × 10,219.92
  4. Step 4: Simplify right side
    6,826.78x = 104,446,803.13
  5. Step 5: Solve for x
    x = 104,446,803.13/6,826.78
  6. Step 6: Final answer
    x = 15,299.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.