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Finding the Third Proportional to 143,786.81 and 311,373.56

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Solution

The third proportional to 143,786.81 and 311,373.56 is: 674,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,786.81 : 311,373.56 = 311,373.56 : x
  2. Step 2: Convert to fraction form
    143,786.81/311,373.56 = 311,373.56/x
  3. Step 3: Cross multiply
    143,786.81x = 311,373.56 × 311,373.56
  4. Step 4: Simplify right side
    143,786.81x = 96,953,495,423.94
  5. Step 5: Solve for x
    x = 96,953,495,423.94/143,786.81
  6. Step 6: Final answer
    x = 674,286.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.