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Finding the Third Proportional to 3,679.17 and 5,319.42

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Solution

The third proportional to 3,679.17 and 5,319.42 is: 7,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.17 : 5,319.42 = 5,319.42 : x
  2. Step 2: Convert to fraction form
    3,679.17/5,319.42 = 5,319.42/x
  3. Step 3: Cross multiply
    3,679.17x = 5,319.42 × 5,319.42
  4. Step 4: Simplify right side
    3,679.17x = 28,296,249.08
  5. Step 5: Solve for x
    x = 28,296,249.08/3,679.17
  6. Step 6: Final answer
    x = 7,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.