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Finding the Third Proportional to 3,780.94 and 5,289.56

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Solution

The third proportional to 3,780.94 and 5,289.56 is: 7,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.94 : 5,289.56 = 5,289.56 : x
  2. Step 2: Convert to fraction form
    3,780.94/5,289.56 = 5,289.56/x
  3. Step 3: Cross multiply
    3,780.94x = 5,289.56 × 5,289.56
  4. Step 4: Simplify right side
    3,780.94x = 27,979,471.44
  5. Step 5: Solve for x
    x = 27,979,471.44/3,780.94
  6. Step 6: Final answer
    x = 7,400.14

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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.