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Finding the Third Proportional to 11,800 and 23,942

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Solution

The third proportional to 11,800 and 23,942 is: 48,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800 : 23,942 = 23,942 : x
  2. Step 2: Convert to fraction form
    11,800/23,942 = 23,942/x
  3. Step 3: Cross multiply
    11,800x = 23,942 × 23,942
  4. Step 4: Simplify right side
    11,800x = 573,219,364
  5. Step 5: Solve for x
    x = 573,219,364/11,800
  6. Step 6: Final answer
    x = 48,577.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.