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Finding the Third Proportional to 3,538.69 and 5,620.64

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Solution

The third proportional to 3,538.69 and 5,620.64 is: 8,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.69 : 5,620.64 = 5,620.64 : x
  2. Step 2: Convert to fraction form
    3,538.69/5,620.64 = 5,620.64/x
  3. Step 3: Cross multiply
    3,538.69x = 5,620.64 × 5,620.64
  4. Step 4: Simplify right side
    3,538.69x = 31,591,601.04
  5. Step 5: Solve for x
    x = 31,591,601.04/3,538.69
  6. Step 6: Final answer
    x = 8,927.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.