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Finding the Third Proportional to 5,780.74 and 8,255.36

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Solution

The third proportional to 5,780.74 and 8,255.36 is: 11,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.74 : 8,255.36 = 8,255.36 : x
  2. Step 2: Convert to fraction form
    5,780.74/8,255.36 = 8,255.36/x
  3. Step 3: Cross multiply
    5,780.74x = 8,255.36 × 8,255.36
  4. Step 4: Simplify right side
    5,780.74x = 68,150,893.92
  5. Step 5: Solve for x
    x = 68,150,893.92/5,780.74
  6. Step 6: Final answer
    x = 11,789.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.