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Finding the Third Proportional to 2,639.81 and 3,704.06

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Solution

The third proportional to 2,639.81 and 3,704.06 is: 5,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.81 : 3,704.06 = 3,704.06 : x
  2. Step 2: Convert to fraction form
    2,639.81/3,704.06 = 3,704.06/x
  3. Step 3: Cross multiply
    2,639.81x = 3,704.06 × 3,704.06
  4. Step 4: Simplify right side
    2,639.81x = 13,720,079.00
  5. Step 5: Solve for x
    x = 13,720,079.00/2,639.81
  6. Step 6: Final answer
    x = 5,197.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.