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Finding the Third Proportional to 11,780 and 17,750

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Solution

The third proportional to 11,780 and 17,750 is: 26,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 17,750 = 17,750 : x
  2. Step 2: Convert to fraction form
    11,780/17,750 = 17,750/x
  3. Step 3: Cross multiply
    11,780x = 17,750 × 17,750
  4. Step 4: Simplify right side
    11,780x = 315,062,500
  5. Step 5: Solve for x
    x = 315,062,500/11,780
  6. Step 6: Final answer
    x = 26,745.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.