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Finding the Third Proportional to 9,828 and 21,224

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Solution

The third proportional to 9,828 and 21,224 is: 45,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 21,224 = 21,224 : x
  2. Step 2: Convert to fraction form
    9,828/21,224 = 21,224/x
  3. Step 3: Cross multiply
    9,828x = 21,224 × 21,224
  4. Step 4: Simplify right side
    9,828x = 450,458,176
  5. Step 5: Solve for x
    x = 450,458,176/9,828
  6. Step 6: Final answer
    x = 45,834.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.