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Finding the Third Proportional to 3,199.50 and 6,978.94

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Solution

The third proportional to 3,199.50 and 6,978.94 is: 15,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.50 : 6,978.94 = 6,978.94 : x
  2. Step 2: Convert to fraction form
    3,199.50/6,978.94 = 6,978.94/x
  3. Step 3: Cross multiply
    3,199.50x = 6,978.94 × 6,978.94
  4. Step 4: Simplify right side
    3,199.50x = 48,705,568.63
  5. Step 5: Solve for x
    x = 48,705,568.63/3,199.50
  6. Step 6: Final answer
    x = 15,222.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.