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Finding the Third Proportional to 986.18 and 2,121.33

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Solution

The third proportional to 986.18 and 2,121.33 is: 4,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.18 : 2,121.33 = 2,121.33 : x
  2. Step 2: Convert to fraction form
    986.18/2,121.33 = 2,121.33/x
  3. Step 3: Cross multiply
    986.18x = 2,121.33 × 2,121.33
  4. Step 4: Simplify right side
    986.18x = 4,500,023.69
  5. Step 5: Solve for x
    x = 4,500,023.69/986.18
  6. Step 6: Final answer
    x = 4,563.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.