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Finding the Third Proportional to 21,645 and 33,201

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Solution

The third proportional to 21,645 and 33,201 is: 50,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645 : 33,201 = 33,201 : x
  2. Step 2: Convert to fraction form
    21,645/33,201 = 33,201/x
  3. Step 3: Cross multiply
    21,645x = 33,201 × 33,201
  4. Step 4: Simplify right side
    21,645x = 1,102,306,401
  5. Step 5: Solve for x
    x = 1,102,306,401/21,645
  6. Step 6: Final answer
    x = 50,926.61

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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.