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Finding the Third Proportional to 1,989 and 4,033.50

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Solution

The third proportional to 1,989 and 4,033.50 is: 8,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989 : 4,033.50 = 4,033.50 : x
  2. Step 2: Convert to fraction form
    1,989/4,033.50 = 4,033.50/x
  3. Step 3: Cross multiply
    1,989x = 4,033.50 × 4,033.50
  4. Step 4: Simplify right side
    1,989x = 16,269,122.25
  5. Step 5: Solve for x
    x = 16,269,122.25/1,989
  6. Step 6: Final answer
    x = 8,179.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.