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Finding the Third Proportional to 3,291 and 6,736.50

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Solution

The third proportional to 3,291 and 6,736.50 is: 13,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291 : 6,736.50 = 6,736.50 : x
  2. Step 2: Convert to fraction form
    3,291/6,736.50 = 6,736.50/x
  3. Step 3: Cross multiply
    3,291x = 6,736.50 × 6,736.50
  4. Step 4: Simplify right side
    3,291x = 45,380,432.25
  5. Step 5: Solve for x
    x = 45,380,432.25/3,291
  6. Step 6: Final answer
    x = 13,789.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.