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Finding the Third Proportional to 9,638 and 11,222

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Solution

The third proportional to 9,638 and 11,222 is: 13,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638 : 11,222 = 11,222 : x
  2. Step 2: Convert to fraction form
    9,638/11,222 = 11,222/x
  3. Step 3: Cross multiply
    9,638x = 11,222 × 11,222
  4. Step 4: Simplify right side
    9,638x = 125,933,284
  5. Step 5: Solve for x
    x = 125,933,284/9,638
  6. Step 6: Final answer
    x = 13,066.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.