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Finding the Third Proportional to 5,539.75 and 7,758.75

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Solution

The third proportional to 5,539.75 and 7,758.75 is: 10,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.75 : 7,758.75 = 7,758.75 : x
  2. Step 2: Convert to fraction form
    5,539.75/7,758.75 = 7,758.75/x
  3. Step 3: Cross multiply
    5,539.75x = 7,758.75 × 7,758.75
  4. Step 4: Simplify right side
    5,539.75x = 60,198,201.56
  5. Step 5: Solve for x
    x = 60,198,201.56/5,539.75
  6. Step 6: Final answer
    x = 10,866.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.