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Finding the Third Proportional to 144,939.38 and 311,313.38

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Solution

The third proportional to 144,939.38 and 311,313.38 is: 668,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,939.38 : 311,313.38 = 311,313.38 : x
  2. Step 2: Convert to fraction form
    144,939.38/311,313.38 = 311,313.38/x
  3. Step 3: Cross multiply
    144,939.38x = 311,313.38 × 311,313.38
  4. Step 4: Simplify right side
    144,939.38x = 96,916,017,453.89
  5. Step 5: Solve for x
    x = 96,916,017,453.89/144,939.38
  6. Step 6: Final answer
    x = 668,665.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.