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Finding the Third Proportional to 3,012.19 and 6,486.33

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Solution

The third proportional to 3,012.19 and 6,486.33 is: 13,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.19 : 6,486.33 = 6,486.33 : x
  2. Step 2: Convert to fraction form
    3,012.19/6,486.33 = 6,486.33/x
  3. Step 3: Cross multiply
    3,012.19x = 6,486.33 × 6,486.33
  4. Step 4: Simplify right side
    3,012.19x = 42,072,452.55
  5. Step 5: Solve for x
    x = 42,072,452.55/3,012.19
  6. Step 6: Final answer
    x = 13,967.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.