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Finding the Third Proportional to 1,845 and 2,861.50

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Solution

The third proportional to 1,845 and 2,861.50 is: 4,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845 : 2,861.50 = 2,861.50 : x
  2. Step 2: Convert to fraction form
    1,845/2,861.50 = 2,861.50/x
  3. Step 3: Cross multiply
    1,845x = 2,861.50 × 2,861.50
  4. Step 4: Simplify right side
    1,845x = 8,188,182.25
  5. Step 5: Solve for x
    x = 8,188,182.25/1,845
  6. Step 6: Final answer
    x = 4,438.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.