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Finding the Third Proportional to 20,920 and 43,544

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Solution

The third proportional to 20,920 and 43,544 is: 90,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920 : 43,544 = 43,544 : x
  2. Step 2: Convert to fraction form
    20,920/43,544 = 43,544/x
  3. Step 3: Cross multiply
    20,920x = 43,544 × 43,544
  4. Step 4: Simplify right side
    20,920x = 1,896,079,936
  5. Step 5: Solve for x
    x = 1,896,079,936/20,920
  6. Step 6: Final answer
    x = 90,634.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.