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Finding the Third Proportional to 143,751.94 and 315,183.38

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Solution

The third proportional to 143,751.94 and 315,183.38 is: 691,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,751.94 : 315,183.38 = 315,183.38 : x
  2. Step 2: Convert to fraction form
    143,751.94/315,183.38 = 315,183.38/x
  3. Step 3: Cross multiply
    143,751.94x = 315,183.38 × 315,183.38
  4. Step 4: Simplify right side
    143,751.94x = 99,340,559,876.39
  5. Step 5: Solve for x
    x = 99,340,559,876.39/143,751.94
  6. Step 6: Final answer
    x = 691,055.45

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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.