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Finding the Third Proportional to 3,186.56 and 6,662.81

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Solution

The third proportional to 3,186.56 and 6,662.81 is: 13,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.56 : 6,662.81 = 6,662.81 : x
  2. Step 2: Convert to fraction form
    3,186.56/6,662.81 = 6,662.81/x
  3. Step 3: Cross multiply
    3,186.56x = 6,662.81 × 6,662.81
  4. Step 4: Simplify right side
    3,186.56x = 44,393,070.41
  5. Step 5: Solve for x
    x = 44,393,070.41/3,186.56
  6. Step 6: Final answer
    x = 13,931.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.