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Finding the Third Proportional to 21,284 and 33,798

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Solution

The third proportional to 21,284 and 33,798 is: 53,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284 : 33,798 = 33,798 : x
  2. Step 2: Convert to fraction form
    21,284/33,798 = 33,798/x
  3. Step 3: Cross multiply
    21,284x = 33,798 × 33,798
  4. Step 4: Simplify right side
    21,284x = 1,142,304,804
  5. Step 5: Solve for x
    x = 1,142,304,804/21,284
  6. Step 6: Final answer
    x = 53,669.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.