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Finding the Third Proportional to 1,823 and 3,934

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Solution

The third proportional to 1,823 and 3,934 is: 8,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823 : 3,934 = 3,934 : x
  2. Step 2: Convert to fraction form
    1,823/3,934 = 3,934/x
  3. Step 3: Cross multiply
    1,823x = 3,934 × 3,934
  4. Step 4: Simplify right side
    1,823x = 15,476,356
  5. Step 5: Solve for x
    x = 15,476,356/1,823
  6. Step 6: Final answer
    x = 8,489.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.