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Finding the Third Proportional to 4,860 and 11,715

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Solution

The third proportional to 4,860 and 11,715 is: 28,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860 : 11,715 = 11,715 : x
  2. Step 2: Convert to fraction form
    4,860/11,715 = 11,715/x
  3. Step 3: Cross multiply
    4,860x = 11,715 × 11,715
  4. Step 4: Simplify right side
    4,860x = 137,241,225
  5. Step 5: Solve for x
    x = 137,241,225/4,860
  6. Step 6: Final answer
    x = 28,238.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.