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Finding the Third Proportional to 4,065 and 6,636.75

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Solution

The third proportional to 4,065 and 6,636.75 is: 10,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 6,636.75 = 6,636.75 : x
  2. Step 2: Convert to fraction form
    4,065/6,636.75 = 6,636.75/x
  3. Step 3: Cross multiply
    4,065x = 6,636.75 × 6,636.75
  4. Step 4: Simplify right side
    4,065x = 44,046,450.56
  5. Step 5: Solve for x
    x = 44,046,450.56/4,065
  6. Step 6: Final answer
    x = 10,835.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.