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Finding the Third Proportional to 1,783.97 and 3,950.44

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Solution

The third proportional to 1,783.97 and 3,950.44 is: 8,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.97 : 3,950.44 = 3,950.44 : x
  2. Step 2: Convert to fraction form
    1,783.97/3,950.44 = 3,950.44/x
  3. Step 3: Cross multiply
    1,783.97x = 3,950.44 × 3,950.44
  4. Step 4: Simplify right side
    1,783.97x = 15,605,956.44
  5. Step 5: Solve for x
    x = 15,605,956.44/1,783.97
  6. Step 6: Final answer
    x = 8,747.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.