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Finding the Third Proportional to 3,209.63 and 5,396.63

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Solution

The third proportional to 3,209.63 and 5,396.63 is: 9,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.63 : 5,396.63 = 5,396.63 : x
  2. Step 2: Convert to fraction form
    3,209.63/5,396.63 = 5,396.63/x
  3. Step 3: Cross multiply
    3,209.63x = 5,396.63 × 5,396.63
  4. Step 4: Simplify right side
    3,209.63x = 29,123,561.39
  5. Step 5: Solve for x
    x = 29,123,561.39/3,209.63
  6. Step 6: Final answer
    x = 9,073.82

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.