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Finding the Third Proportional to 21,798 and 33,813

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Solution

The third proportional to 21,798 and 33,813 is: 52,450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,798 : 33,813 = 33,813 : x
  2. Step 2: Convert to fraction form
    21,798/33,813 = 33,813/x
  3. Step 3: Cross multiply
    21,798x = 33,813 × 33,813
  4. Step 4: Simplify right side
    21,798x = 1,143,318,969
  5. Step 5: Solve for x
    x = 1,143,318,969/21,798
  6. Step 6: Final answer
    x = 52,450.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.