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Finding the Third Proportional to 1,822 and 3,861.50

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Solution

The third proportional to 1,822 and 3,861.50 is: 8,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822 : 3,861.50 = 3,861.50 : x
  2. Step 2: Convert to fraction form
    1,822/3,861.50 = 3,861.50/x
  3. Step 3: Cross multiply
    1,822x = 3,861.50 × 3,861.50
  4. Step 4: Simplify right side
    1,822x = 14,911,182.25
  5. Step 5: Solve for x
    x = 14,911,182.25/1,822
  6. Step 6: Final answer
    x = 8,183.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.