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Finding the Third Proportional to 1,280.25 and 2,986.88

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Solution

The third proportional to 1,280.25 and 2,986.88 is: 6,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.25 : 2,986.88 = 2,986.88 : x
  2. Step 2: Convert to fraction form
    1,280.25/2,986.88 = 2,986.88/x
  3. Step 3: Cross multiply
    1,280.25x = 2,986.88 × 2,986.88
  4. Step 4: Simplify right side
    1,280.25x = 8,921,422.27
  5. Step 5: Solve for x
    x = 8,921,422.27/1,280.25
  6. Step 6: Final answer
    x = 6,968.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.