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Finding the Third Proportional to 9,962 and 21,224

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Solution

The third proportional to 9,962 and 21,224 is: 45,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962 : 21,224 = 21,224 : x
  2. Step 2: Convert to fraction form
    9,962/21,224 = 21,224/x
  3. Step 3: Cross multiply
    9,962x = 21,224 × 21,224
  4. Step 4: Simplify right side
    9,962x = 450,458,176
  5. Step 5: Solve for x
    x = 450,458,176/9,962
  6. Step 6: Final answer
    x = 45,217.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.