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Finding the Third Proportional to 851.81 and 1,723.88

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Solution

The third proportional to 851.81 and 1,723.88 is: 3,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.81 : 1,723.88 = 1,723.88 : x
  2. Step 2: Convert to fraction form
    851.81/1,723.88 = 1,723.88/x
  3. Step 3: Cross multiply
    851.81x = 1,723.88 × 1,723.88
  4. Step 4: Simplify right side
    851.81x = 2,971,745.02
  5. Step 5: Solve for x
    x = 2,971,745.02/851.81
  6. Step 6: Final answer
    x = 3,488.73

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.