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Finding the Third Proportional to 2,002.22 and 3,000.80

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Solution

The third proportional to 2,002.22 and 3,000.80 is: 4,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.22 : 3,000.80 = 3,000.80 : x
  2. Step 2: Convert to fraction form
    2,002.22/3,000.80 = 3,000.80/x
  3. Step 3: Cross multiply
    2,002.22x = 3,000.80 × 3,000.80
  4. Step 4: Simplify right side
    2,002.22x = 9,004,781.89
  5. Step 5: Solve for x
    x = 9,004,781.89/2,002.22
  6. Step 6: Final answer
    x = 4,497.40

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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.