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Finding the Third Proportional to 3,076.88 and 6,751.69

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Solution

The third proportional to 3,076.88 and 6,751.69 is: 14,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.88 : 6,751.69 = 6,751.69 : x
  2. Step 2: Convert to fraction form
    3,076.88/6,751.69 = 6,751.69/x
  3. Step 3: Cross multiply
    3,076.88x = 6,751.69 × 6,751.69
  4. Step 4: Simplify right side
    3,076.88x = 45,585,284.10
  5. Step 5: Solve for x
    x = 45,585,284.10/3,076.88
  6. Step 6: Final answer
    x = 14,815.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.