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Finding the Third Proportional to 3,136.50 and 6,751.69

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Solution

The third proportional to 3,136.50 and 6,751.69 is: 14,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.50 : 6,751.69 = 6,751.69 : x
  2. Step 2: Convert to fraction form
    3,136.50/6,751.69 = 6,751.69/x
  3. Step 3: Cross multiply
    3,136.50x = 6,751.69 × 6,751.69
  4. Step 4: Simplify right side
    3,136.50x = 45,585,284.10
  5. Step 5: Solve for x
    x = 45,585,284.10/3,136.50
  6. Step 6: Final answer
    x = 14,533.81

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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.