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Finding the Third Proportional to 142,012.13 and 311,183.44

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Solution

The third proportional to 142,012.13 and 311,183.44 is: 681,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,012.13 : 311,183.44 = 311,183.44 : x
  2. Step 2: Convert to fraction form
    142,012.13/311,183.44 = 311,183.44/x
  3. Step 3: Cross multiply
    142,012.13x = 311,183.44 × 311,183.44
  4. Step 4: Simplify right side
    142,012.13x = 96,835,131,774.32
  5. Step 5: Solve for x
    x = 96,835,131,774.32/142,012.13
  6. Step 6: Final answer
    x = 681,879.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.