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Finding the Third Proportional to 6,122.75 and 13,613.50

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Solution

The third proportional to 6,122.75 and 13,613.50 is: 30,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.75 : 13,613.50 = 13,613.50 : x
  2. Step 2: Convert to fraction form
    6,122.75/13,613.50 = 13,613.50/x
  3. Step 3: Cross multiply
    6,122.75x = 13,613.50 × 13,613.50
  4. Step 4: Simplify right side
    6,122.75x = 185,327,382.25
  5. Step 5: Solve for x
    x = 185,327,382.25/6,122.75
  6. Step 6: Final answer
    x = 30,268.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.