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Finding the Third Proportional to 1,635.75 and 3,399.19

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Solution

The third proportional to 1,635.75 and 3,399.19 is: 7,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.75 : 3,399.19 = 3,399.19 : x
  2. Step 2: Convert to fraction form
    1,635.75/3,399.19 = 3,399.19/x
  3. Step 3: Cross multiply
    1,635.75x = 3,399.19 × 3,399.19
  4. Step 4: Simplify right side
    1,635.75x = 11,554,475.66
  5. Step 5: Solve for x
    x = 11,554,475.66/1,635.75
  6. Step 6: Final answer
    x = 7,063.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.