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Finding the Third Proportional to 3,715 and 5,647

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Solution

The third proportional to 3,715 and 5,647 is: 8,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715 : 5,647 = 5,647 : x
  2. Step 2: Convert to fraction form
    3,715/5,647 = 5,647/x
  3. Step 3: Cross multiply
    3,715x = 5,647 × 5,647
  4. Step 4: Simplify right side
    3,715x = 31,888,609
  5. Step 5: Solve for x
    x = 31,888,609/3,715
  6. Step 6: Final answer
    x = 8,583.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.