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Finding the Third Proportional to 6,212 and 10,200

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Solution

The third proportional to 6,212 and 10,200 is: 16,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212 : 10,200 = 10,200 : x
  2. Step 2: Convert to fraction form
    6,212/10,200 = 10,200/x
  3. Step 3: Cross multiply
    6,212x = 10,200 × 10,200
  4. Step 4: Simplify right side
    6,212x = 104,040,000
  5. Step 5: Solve for x
    x = 104,040,000/6,212
  6. Step 6: Final answer
    x = 16,748.23

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.