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Finding the Third Proportional to 20,420 and 30,244

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Solution

The third proportional to 20,420 and 30,244 is: 44,794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420 : 30,244 = 30,244 : x
  2. Step 2: Convert to fraction form
    20,420/30,244 = 30,244/x
  3. Step 3: Cross multiply
    20,420x = 30,244 × 30,244
  4. Step 4: Simplify right side
    20,420x = 914,699,536
  5. Step 5: Solve for x
    x = 914,699,536/20,420
  6. Step 6: Final answer
    x = 44,794.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.