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Finding the Third Proportional to 23,750 and 50,678

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Solution

The third proportional to 23,750 and 50,678 is: 108,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,750 : 50,678 = 50,678 : x
  2. Step 2: Convert to fraction form
    23,750/50,678 = 50,678/x
  3. Step 3: Cross multiply
    23,750x = 50,678 × 50,678
  4. Step 4: Simplify right side
    23,750x = 2,568,259,684
  5. Step 5: Solve for x
    x = 2,568,259,684/23,750
  6. Step 6: Final answer
    x = 108,137.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.