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Finding the Third Proportional to 3,978.14 and 8,750.46

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Solution

The third proportional to 3,978.14 and 8,750.46 is: 19,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.14 : 8,750.46 = 8,750.46 : x
  2. Step 2: Convert to fraction form
    3,978.14/8,750.46 = 8,750.46/x
  3. Step 3: Cross multiply
    3,978.14x = 8,750.46 × 8,750.46
  4. Step 4: Simplify right side
    3,978.14x = 76,570,566.62
  5. Step 5: Solve for x
    x = 76,570,566.62/3,978.14
  6. Step 6: Final answer
    x = 19,247.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.