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Finding the Third Proportional to 311,788 and 673,400

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Solution

The third proportional to 311,788 and 673,400 is: 1,454,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,788 : 673,400 = 673,400 : x
  2. Step 2: Convert to fraction form
    311,788/673,400 = 673,400/x
  3. Step 3: Cross multiply
    311,788x = 673,400 × 673,400
  4. Step 4: Simplify right side
    311,788x = 453,467,560,000
  5. Step 5: Solve for x
    x = 453,467,560,000/311,788
  6. Step 6: Final answer
    x = 1,454,409.92

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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.