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Finding the Third Proportional to 5,644 and 8,722

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Solution

The third proportional to 5,644 and 8,722 is: 13,478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 8,722 = 8,722 : x
  2. Step 2: Convert to fraction form
    5,644/8,722 = 8,722/x
  3. Step 3: Cross multiply
    5,644x = 8,722 × 8,722
  4. Step 4: Simplify right side
    5,644x = 76,073,284
  5. Step 5: Solve for x
    x = 76,073,284/5,644
  6. Step 6: Final answer
    x = 13,478.61

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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.