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Finding the Third Proportional to 8,434 and 13,551

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Solution

The third proportional to 8,434 and 13,551 is: 21,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 13,551 = 13,551 : x
  2. Step 2: Convert to fraction form
    8,434/13,551 = 13,551/x
  3. Step 3: Cross multiply
    8,434x = 13,551 × 13,551
  4. Step 4: Simplify right side
    8,434x = 183,629,601
  5. Step 5: Solve for x
    x = 183,629,601/8,434
  6. Step 6: Final answer
    x = 21,772.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.