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Finding the Third Proportional to 989.38 and 2,137.38

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Solution

The third proportional to 989.38 and 2,137.38 is: 4,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.38 : 2,137.38 = 2,137.38 : x
  2. Step 2: Convert to fraction form
    989.38/2,137.38 = 2,137.38/x
  3. Step 3: Cross multiply
    989.38x = 2,137.38 × 2,137.38
  4. Step 4: Simplify right side
    989.38x = 4,568,371.89
  5. Step 5: Solve for x
    x = 4,568,371.89/989.38
  6. Step 6: Final answer
    x = 4,617.43

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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.