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Finding the Third Proportional to 6,405 and 13,245

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Solution

The third proportional to 6,405 and 13,245 is: 27,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 13,245 = 13,245 : x
  2. Step 2: Convert to fraction form
    6,405/13,245 = 13,245/x
  3. Step 3: Cross multiply
    6,405x = 13,245 × 13,245
  4. Step 4: Simplify right side
    6,405x = 175,430,025
  5. Step 5: Solve for x
    x = 175,430,025/6,405
  6. Step 6: Final answer
    x = 27,389.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.