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Finding the Third Proportional to 3,286 and 4,915

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Solution

The third proportional to 3,286 and 4,915 is: 7,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,915 = 4,915 : x
  2. Step 2: Convert to fraction form
    3,286/4,915 = 4,915/x
  3. Step 3: Cross multiply
    3,286x = 4,915 × 4,915
  4. Step 4: Simplify right side
    3,286x = 24,157,225
  5. Step 5: Solve for x
    x = 24,157,225/3,286
  6. Step 6: Final answer
    x = 7,351.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.