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Finding the Third Proportional to 311,810.39 and 673,516.78

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Solution

The third proportional to 311,810.39 and 673,516.78 is: 1,454,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.39 : 673,516.78 = 673,516.78 : x
  2. Step 2: Convert to fraction form
    311,810.39/673,516.78 = 673,516.78/x
  3. Step 3: Cross multiply
    311,810.39x = 673,516.78 × 673,516.78
  4. Step 4: Simplify right side
    311,810.39x = 453,624,854,625.36
  5. Step 5: Solve for x
    x = 453,624,854,625.36/311,810.39
  6. Step 6: Final answer
    x = 1,454,809.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.