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Finding the Third Proportional to 20,448 and 41,756

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Solution

The third proportional to 20,448 and 41,756 is: 85,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 41,756 = 41,756 : x
  2. Step 2: Convert to fraction form
    20,448/41,756 = 41,756/x
  3. Step 3: Cross multiply
    20,448x = 41,756 × 41,756
  4. Step 4: Simplify right side
    20,448x = 1,743,563,536
  5. Step 5: Solve for x
    x = 1,743,563,536/20,448
  6. Step 6: Final answer
    x = 85,268.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.