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Finding the Third Proportional to 1,819.55 and 2,743.66

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Solution

The third proportional to 1,819.55 and 2,743.66 is: 4,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.55 : 2,743.66 = 2,743.66 : x
  2. Step 2: Convert to fraction form
    1,819.55/2,743.66 = 2,743.66/x
  3. Step 3: Cross multiply
    1,819.55x = 2,743.66 × 2,743.66
  4. Step 4: Simplify right side
    1,819.55x = 7,527,692.49
  5. Step 5: Solve for x
    x = 7,527,692.49/1,819.55
  6. Step 6: Final answer
    x = 4,137.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.