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Finding the Third Proportional to 6,866.44 and 10,251.56

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Solution

The third proportional to 6,866.44 and 10,251.56 is: 15,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.44 : 10,251.56 = 10,251.56 : x
  2. Step 2: Convert to fraction form
    6,866.44/10,251.56 = 10,251.56/x
  3. Step 3: Cross multiply
    6,866.44x = 10,251.56 × 10,251.56
  4. Step 4: Simplify right side
    6,866.44x = 105,094,533.69
  5. Step 5: Solve for x
    x = 105,094,533.69/6,866.44
  6. Step 6: Final answer
    x = 15,305.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.