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Finding the Third Proportional to 3,629 and 3,989

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Solution

The third proportional to 3,629 and 3,989 is: 4,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629 : 3,989 = 3,989 : x
  2. Step 2: Convert to fraction form
    3,629/3,989 = 3,989/x
  3. Step 3: Cross multiply
    3,629x = 3,989 × 3,989
  4. Step 4: Simplify right side
    3,629x = 15,912,121
  5. Step 5: Solve for x
    x = 15,912,121/3,629
  6. Step 6: Final answer
    x = 4,384.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.