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Finding the Third Proportional to 3,462.75 and 6,578.09

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Solution

The third proportional to 3,462.75 and 6,578.09 is: 12,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.75 : 6,578.09 = 6,578.09 : x
  2. Step 2: Convert to fraction form
    3,462.75/6,578.09 = 6,578.09/x
  3. Step 3: Cross multiply
    3,462.75x = 6,578.09 × 6,578.09
  4. Step 4: Simplify right side
    3,462.75x = 43,271,214.60
  5. Step 5: Solve for x
    x = 43,271,214.60/3,462.75
  6. Step 6: Final answer
    x = 12,496.20

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.