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Finding the Third Proportional to 11,695.50 and 18,879.75

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Solution

The third proportional to 11,695.50 and 18,879.75 is: 30,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.50 : 18,879.75 = 18,879.75 : x
  2. Step 2: Convert to fraction form
    11,695.50/18,879.75 = 18,879.75/x
  3. Step 3: Cross multiply
    11,695.50x = 18,879.75 × 18,879.75
  4. Step 4: Simplify right side
    11,695.50x = 356,444,960.06
  5. Step 5: Solve for x
    x = 356,444,960.06/11,695.50
  6. Step 6: Final answer
    x = 30,477.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.