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Finding the Third Proportional to 3,977 and 8,750

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Solution

The third proportional to 3,977 and 8,750 is: 19,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977 : 8,750 = 8,750 : x
  2. Step 2: Convert to fraction form
    3,977/8,750 = 8,750/x
  3. Step 3: Cross multiply
    3,977x = 8,750 × 8,750
  4. Step 4: Simplify right side
    3,977x = 76,562,500
  5. Step 5: Solve for x
    x = 76,562,500/3,977
  6. Step 6: Final answer
    x = 19,251.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.