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Finding the Third Proportional to 3,138.56 and 6,763.13

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Solution

The third proportional to 3,138.56 and 6,763.13 is: 14,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.56 : 6,763.13 = 6,763.13 : x
  2. Step 2: Convert to fraction form
    3,138.56/6,763.13 = 6,763.13/x
  3. Step 3: Cross multiply
    3,138.56x = 6,763.13 × 6,763.13
  4. Step 4: Simplify right side
    3,138.56x = 45,739,859.77
  5. Step 5: Solve for x
    x = 45,739,859.77/3,138.56
  6. Step 6: Final answer
    x = 14,573.51

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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.