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Finding the Third Proportional to 3,310 and 6,619

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Solution

The third proportional to 3,310 and 6,619 is: 13,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310 : 6,619 = 6,619 : x
  2. Step 2: Convert to fraction form
    3,310/6,619 = 6,619/x
  3. Step 3: Cross multiply
    3,310x = 6,619 × 6,619
  4. Step 4: Simplify right side
    3,310x = 43,811,161
  5. Step 5: Solve for x
    x = 43,811,161/3,310
  6. Step 6: Final answer
    x = 13,236.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.