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Finding the Third Proportional to 1,986.75 and 4,855.50

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Solution

The third proportional to 1,986.75 and 4,855.50 is: 11,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.75 : 4,855.50 = 4,855.50 : x
  2. Step 2: Convert to fraction form
    1,986.75/4,855.50 = 4,855.50/x
  3. Step 3: Cross multiply
    1,986.75x = 4,855.50 × 4,855.50
  4. Step 4: Simplify right side
    1,986.75x = 23,575,880.25
  5. Step 5: Solve for x
    x = 23,575,880.25/1,986.75
  6. Step 6: Final answer
    x = 11,866.56

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.