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Finding the Third Proportional to 1,980.75 and 2,786.25

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Solution

The third proportional to 1,980.75 and 2,786.25 is: 3,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.75 : 2,786.25 = 2,786.25 : x
  2. Step 2: Convert to fraction form
    1,980.75/2,786.25 = 2,786.25/x
  3. Step 3: Cross multiply
    1,980.75x = 2,786.25 × 2,786.25
  4. Step 4: Simplify right side
    1,980.75x = 7,763,189.06
  5. Step 5: Solve for x
    x = 7,763,189.06/1,980.75
  6. Step 6: Final answer
    x = 3,919.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.