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Finding the Third Proportional to 3,022.88 and 6,412.78

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Solution

The third proportional to 3,022.88 and 6,412.78 is: 13,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.88 : 6,412.78 = 6,412.78 : x
  2. Step 2: Convert to fraction form
    3,022.88/6,412.78 = 6,412.78/x
  3. Step 3: Cross multiply
    3,022.88x = 6,412.78 × 6,412.78
  4. Step 4: Simplify right side
    3,022.88x = 41,123,763.36
  5. Step 5: Solve for x
    x = 41,123,763.36/3,022.88
  6. Step 6: Final answer
    x = 13,604.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.