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Finding the Third Proportional to 1,290.94 and 2,781.21

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Solution

The third proportional to 1,290.94 and 2,781.21 is: 5,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.94 : 2,781.21 = 2,781.21 : x
  2. Step 2: Convert to fraction form
    1,290.94/2,781.21 = 2,781.21/x
  3. Step 3: Cross multiply
    1,290.94x = 2,781.21 × 2,781.21
  4. Step 4: Simplify right side
    1,290.94x = 7,735,134.28
  5. Step 5: Solve for x
    x = 7,735,134.28/1,290.94
  6. Step 6: Final answer
    x = 5,991.87

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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.