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Finding the Third Proportional to 1,286 and 2,422

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Solution

The third proportional to 1,286 and 2,422 is: 4,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286 : 2,422 = 2,422 : x
  2. Step 2: Convert to fraction form
    1,286/2,422 = 2,422/x
  3. Step 3: Cross multiply
    1,286x = 2,422 × 2,422
  4. Step 4: Simplify right side
    1,286x = 5,866,084
  5. Step 5: Solve for x
    x = 5,866,084/1,286
  6. Step 6: Final answer
    x = 4,561.50

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.