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Finding the Third Proportional to 11,600 and 23,752

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Solution

The third proportional to 11,600 and 23,752 is: 48,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600 : 23,752 = 23,752 : x
  2. Step 2: Convert to fraction form
    11,600/23,752 = 23,752/x
  3. Step 3: Cross multiply
    11,600x = 23,752 × 23,752
  4. Step 4: Simplify right side
    11,600x = 564,157,504
  5. Step 5: Solve for x
    x = 564,157,504/11,600
  6. Step 6: Final answer
    x = 48,634.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.