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Finding the Third Proportional to 3,309.61 and 7,222.08

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Solution

The third proportional to 3,309.61 and 7,222.08 is: 15,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.61 : 7,222.08 = 7,222.08 : x
  2. Step 2: Convert to fraction form
    3,309.61/7,222.08 = 7,222.08/x
  3. Step 3: Cross multiply
    3,309.61x = 7,222.08 × 7,222.08
  4. Step 4: Simplify right side
    3,309.61x = 52,158,412.44
  5. Step 5: Solve for x
    x = 52,158,412.44/3,309.61
  6. Step 6: Final answer
    x = 15,759.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.