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Finding the Third Proportional to 3,205.50 and 4,808.25

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Solution

The third proportional to 3,205.50 and 4,808.25 is: 7,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.50 : 4,808.25 = 4,808.25 : x
  2. Step 2: Convert to fraction form
    3,205.50/4,808.25 = 4,808.25/x
  3. Step 3: Cross multiply
    3,205.50x = 4,808.25 × 4,808.25
  4. Step 4: Simplify right side
    3,205.50x = 23,119,268.06
  5. Step 5: Solve for x
    x = 23,119,268.06/3,205.50
  6. Step 6: Final answer
    x = 7,212.38

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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.