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Finding the Third Proportional to 3,110.80 and 6,716.46

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Solution

The third proportional to 3,110.80 and 6,716.46 is: 14,501.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.80 : 6,716.46 = 6,716.46 : x
  2. Step 2: Convert to fraction form
    3,110.80/6,716.46 = 6,716.46/x
  3. Step 3: Cross multiply
    3,110.80x = 6,716.46 × 6,716.46
  4. Step 4: Simplify right side
    3,110.80x = 45,110,847.52
  5. Step 5: Solve for x
    x = 45,110,847.52/3,110.80
  6. Step 6: Final answer
    x = 14,501.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.