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Finding the Third Proportional to 5,684 and 8,821

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Solution

The third proportional to 5,684 and 8,821 is: 13,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684 : 8,821 = 8,821 : x
  2. Step 2: Convert to fraction form
    5,684/8,821 = 8,821/x
  3. Step 3: Cross multiply
    5,684x = 8,821 × 8,821
  4. Step 4: Simplify right side
    5,684x = 77,810,041
  5. Step 5: Solve for x
    x = 77,810,041/5,684
  6. Step 6: Final answer
    x = 13,689.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.