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Finding the Third Proportional to 3,188.25 and 3,704.63

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Solution

The third proportional to 3,188.25 and 3,704.63 is: 4,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.25 : 3,704.63 = 3,704.63 : x
  2. Step 2: Convert to fraction form
    3,188.25/3,704.63 = 3,704.63/x
  3. Step 3: Cross multiply
    3,188.25x = 3,704.63 × 3,704.63
  4. Step 4: Simplify right side
    3,188.25x = 13,724,246.39
  5. Step 5: Solve for x
    x = 13,724,246.39/3,188.25
  6. Step 6: Final answer
    x = 4,304.63

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.