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Finding the Third Proportional to 13,804 and 21,866

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Solution

The third proportional to 13,804 and 21,866 is: 34,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804 : 21,866 = 21,866 : x
  2. Step 2: Convert to fraction form
    13,804/21,866 = 21,866/x
  3. Step 3: Cross multiply
    13,804x = 21,866 × 21,866
  4. Step 4: Simplify right side
    13,804x = 478,121,956
  5. Step 5: Solve for x
    x = 478,121,956/13,804
  6. Step 6: Final answer
    x = 34,636.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.