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Finding the Third Proportional to 851.77 and 1,861.73

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Solution

The third proportional to 851.77 and 1,861.73 is: 4,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.77 : 1,861.73 = 1,861.73 : x
  2. Step 2: Convert to fraction form
    851.77/1,861.73 = 1,861.73/x
  3. Step 3: Cross multiply
    851.77x = 1,861.73 × 1,861.73
  4. Step 4: Simplify right side
    851.77x = 3,466,054.88
  5. Step 5: Solve for x
    x = 3,466,054.88/851.77
  6. Step 6: Final answer
    x = 4,069.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.