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Finding the Third Proportional to 2,020.03 and 3,120.09

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Solution

The third proportional to 2,020.03 and 3,120.09 is: 4,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.03 : 3,120.09 = 3,120.09 : x
  2. Step 2: Convert to fraction form
    2,020.03/3,120.09 = 3,120.09/x
  3. Step 3: Cross multiply
    2,020.03x = 3,120.09 × 3,120.09
  4. Step 4: Simplify right side
    2,020.03x = 9,734,985.01
  5. Step 5: Solve for x
    x = 9,734,985.01/2,020.03
  6. Step 6: Final answer
    x = 4,819.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.