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Finding the Third Proportional to 3,460.85 and 5,194.55

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Solution

The third proportional to 3,460.85 and 5,194.55 is: 7,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.85 : 5,194.55 = 5,194.55 : x
  2. Step 2: Convert to fraction form
    3,460.85/5,194.55 = 5,194.55/x
  3. Step 3: Cross multiply
    3,460.85x = 5,194.55 × 5,194.55
  4. Step 4: Simplify right side
    3,460.85x = 26,983,317.24
  5. Step 5: Solve for x
    x = 26,983,317.24/3,460.85
  6. Step 6: Final answer
    x = 7,796.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.