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Finding the Third Proportional to 20,274 and 30,381

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Solution

The third proportional to 20,274 and 30,381 is: 45,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274 : 30,381 = 30,381 : x
  2. Step 2: Convert to fraction form
    20,274/30,381 = 30,381/x
  3. Step 3: Cross multiply
    20,274x = 30,381 × 30,381
  4. Step 4: Simplify right side
    20,274x = 923,005,161
  5. Step 5: Solve for x
    x = 923,005,161/20,274
  6. Step 6: Final answer
    x = 45,526.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.