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Finding the Third Proportional to 20,520 and 33,048

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Solution

The third proportional to 20,520 and 33,048 is: 53,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 33,048 = 33,048 : x
  2. Step 2: Convert to fraction form
    20,520/33,048 = 33,048/x
  3. Step 3: Cross multiply
    20,520x = 33,048 × 33,048
  4. Step 4: Simplify right side
    20,520x = 1,092,170,304
  5. Step 5: Solve for x
    x = 1,092,170,304/20,520
  6. Step 6: Final answer
    x = 53,224.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.