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Finding the Third Proportional to 1,953 and 3,978.75

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Solution

The third proportional to 1,953 and 3,978.75 is: 8,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953 : 3,978.75 = 3,978.75 : x
  2. Step 2: Convert to fraction form
    1,953/3,978.75 = 3,978.75/x
  3. Step 3: Cross multiply
    1,953x = 3,978.75 × 3,978.75
  4. Step 4: Simplify right side
    1,953x = 15,830,451.56
  5. Step 5: Solve for x
    x = 15,830,451.56/1,953
  6. Step 6: Final answer
    x = 8,105.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.