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Finding the Third Proportional to 21,242 and 41,944

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Solution

The third proportional to 21,242 and 41,944 is: 82,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242 : 41,944 = 41,944 : x
  2. Step 2: Convert to fraction form
    21,242/41,944 = 41,944/x
  3. Step 3: Cross multiply
    21,242x = 41,944 × 41,944
  4. Step 4: Simplify right side
    21,242x = 1,759,299,136
  5. Step 5: Solve for x
    x = 1,759,299,136/21,242
  6. Step 6: Final answer
    x = 82,821.73

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.