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Finding the Third Proportional to 5,375 and 8,305

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Solution

The third proportional to 5,375 and 8,305 is: 12,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375 : 8,305 = 8,305 : x
  2. Step 2: Convert to fraction form
    5,375/8,305 = 8,305/x
  3. Step 3: Cross multiply
    5,375x = 8,305 × 8,305
  4. Step 4: Simplify right side
    5,375x = 68,973,025
  5. Step 5: Solve for x
    x = 68,973,025/5,375
  6. Step 6: Final answer
    x = 12,832.19

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