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Finding the Third Proportional to 3,453.69 and 5,311.63

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Solution

The third proportional to 3,453.69 and 5,311.63 is: 8,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.69 : 5,311.63 = 5,311.63 : x
  2. Step 2: Convert to fraction form
    3,453.69/5,311.63 = 5,311.63/x
  3. Step 3: Cross multiply
    3,453.69x = 5,311.63 × 5,311.63
  4. Step 4: Simplify right side
    3,453.69x = 28,213,360.14
  5. Step 5: Solve for x
    x = 28,213,360.14/3,453.69
  6. Step 6: Final answer
    x = 8,169.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.