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Finding the Third Proportional to 3,606.75 and 6,720.75

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Solution

The third proportional to 3,606.75 and 6,720.75 is: 12,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.75 : 6,720.75 = 6,720.75 : x
  2. Step 2: Convert to fraction form
    3,606.75/6,720.75 = 6,720.75/x
  3. Step 3: Cross multiply
    3,606.75x = 6,720.75 × 6,720.75
  4. Step 4: Simplify right side
    3,606.75x = 45,168,480.56
  5. Step 5: Solve for x
    x = 45,168,480.56/3,606.75
  6. Step 6: Final answer
    x = 12,523.32

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.