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Finding the Third Proportional to 3,219.75 and 5,820.19

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Solution

The third proportional to 3,219.75 and 5,820.19 is: 10,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.75 : 5,820.19 = 5,820.19 : x
  2. Step 2: Convert to fraction form
    3,219.75/5,820.19 = 5,820.19/x
  3. Step 3: Cross multiply
    3,219.75x = 5,820.19 × 5,820.19
  4. Step 4: Simplify right side
    3,219.75x = 33,874,582.54
  5. Step 5: Solve for x
    x = 33,874,582.54/3,219.75
  6. Step 6: Final answer
    x = 10,520.87

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.