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Finding the Third Proportional to 13,828 and 16,804

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Solution

The third proportional to 13,828 and 16,804 is: 20,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828 : 16,804 = 16,804 : x
  2. Step 2: Convert to fraction form
    13,828/16,804 = 16,804/x
  3. Step 3: Cross multiply
    13,828x = 16,804 × 16,804
  4. Step 4: Simplify right side
    13,828x = 282,374,416
  5. Step 5: Solve for x
    x = 282,374,416/13,828
  6. Step 6: Final answer
    x = 20,420.48

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.