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Finding the Third Proportional to 1,993.36 and 3,092.55

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Solution

The third proportional to 1,993.36 and 3,092.55 is: 4,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.36 : 3,092.55 = 3,092.55 : x
  2. Step 2: Convert to fraction form
    1,993.36/3,092.55 = 3,092.55/x
  3. Step 3: Cross multiply
    1,993.36x = 3,092.55 × 3,092.55
  4. Step 4: Simplify right side
    1,993.36x = 9,563,894.50
  5. Step 5: Solve for x
    x = 9,563,894.50/1,993.36
  6. Step 6: Final answer
    x = 4,797.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.