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Finding the Third Proportional to 1,380.75 and 2,986.13

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Solution

The third proportional to 1,380.75 and 2,986.13 is: 6,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.75 : 2,986.13 = 2,986.13 : x
  2. Step 2: Convert to fraction form
    1,380.75/2,986.13 = 2,986.13/x
  3. Step 3: Cross multiply
    1,380.75x = 2,986.13 × 2,986.13
  4. Step 4: Simplify right side
    1,380.75x = 8,916,942.52
  5. Step 5: Solve for x
    x = 8,916,942.52/1,380.75
  6. Step 6: Final answer
    x = 6,458.04

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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.