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Finding the Third Proportional to 3,085 and 6,696.50

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Solution

The third proportional to 3,085 and 6,696.50 is: 14,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085 : 6,696.50 = 6,696.50 : x
  2. Step 2: Convert to fraction form
    3,085/6,696.50 = 6,696.50/x
  3. Step 3: Cross multiply
    3,085x = 6,696.50 × 6,696.50
  4. Step 4: Simplify right side
    3,085x = 44,843,112.25
  5. Step 5: Solve for x
    x = 44,843,112.25/3,085
  6. Step 6: Final answer
    x = 14,535.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.