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Finding the Third Proportional to 17,722 and 19,558

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Solution

The third proportional to 17,722 and 19,558 is: 21,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 19,558 = 19,558 : x
  2. Step 2: Convert to fraction form
    17,722/19,558 = 19,558/x
  3. Step 3: Cross multiply
    17,722x = 19,558 × 19,558
  4. Step 4: Simplify right side
    17,722x = 382,515,364
  5. Step 5: Solve for x
    x = 382,515,364/17,722
  6. Step 6: Final answer
    x = 21,584.21

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.