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Finding the Third Proportional to 27,800 and 57,906

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Solution

The third proportional to 27,800 and 57,906 is: 120,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,800 : 57,906 = 57,906 : x
  2. Step 2: Convert to fraction form
    27,800/57,906 = 57,906/x
  3. Step 3: Cross multiply
    27,800x = 57,906 × 57,906
  4. Step 4: Simplify right side
    27,800x = 3,353,104,836
  5. Step 5: Solve for x
    x = 3,353,104,836/27,800
  6. Step 6: Final answer
    x = 120,615.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.