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Finding the Third Proportional to 21,778 and 33,351

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Solution

The third proportional to 21,778 and 33,351 is: 51,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778 : 33,351 = 33,351 : x
  2. Step 2: Convert to fraction form
    21,778/33,351 = 33,351/x
  3. Step 3: Cross multiply
    21,778x = 33,351 × 33,351
  4. Step 4: Simplify right side
    21,778x = 1,112,289,201
  5. Step 5: Solve for x
    x = 1,112,289,201/21,778
  6. Step 6: Final answer
    x = 51,073.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.