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Finding the Third Proportional to 851.56 and 1,857.44

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Solution

The third proportional to 851.56 and 1,857.44 is: 4,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.56 : 1,857.44 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    851.56/1,857.44 = 1,857.44/x
  3. Step 3: Cross multiply
    851.56x = 1,857.44 × 1,857.44
  4. Step 4: Simplify right side
    851.56x = 3,450,074.07
  5. Step 5: Solve for x
    x = 3,450,074.07/851.56
  6. Step 6: Final answer
    x = 4,051.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.