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Finding the Third Proportional to 13,099.50 and 18,519.75

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Solution

The third proportional to 13,099.50 and 18,519.75 is: 26,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.50 : 18,519.75 = 18,519.75 : x
  2. Step 2: Convert to fraction form
    13,099.50/18,519.75 = 18,519.75/x
  3. Step 3: Cross multiply
    13,099.50x = 18,519.75 × 18,519.75
  4. Step 4: Simplify right side
    13,099.50x = 342,981,140.06
  5. Step 5: Solve for x
    x = 342,981,140.06/13,099.50
  6. Step 6: Final answer
    x = 26,182.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.