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Finding the Third Proportional to 9,190.50 and 12,942.75

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Solution

The third proportional to 9,190.50 and 12,942.75 is: 18,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.50 : 12,942.75 = 12,942.75 : x
  2. Step 2: Convert to fraction form
    9,190.50/12,942.75 = 12,942.75/x
  3. Step 3: Cross multiply
    9,190.50x = 12,942.75 × 12,942.75
  4. Step 4: Simplify right side
    9,190.50x = 167,514,777.56
  5. Step 5: Solve for x
    x = 167,514,777.56/9,190.50
  6. Step 6: Final answer
    x = 18,226.95

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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.