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Finding the Third Proportional to 311,780 and 673,378

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Solution

The third proportional to 311,780 and 673,378 is: 1,454,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,780 : 673,378 = 673,378 : x
  2. Step 2: Convert to fraction form
    311,780/673,378 = 673,378/x
  3. Step 3: Cross multiply
    311,780x = 673,378 × 673,378
  4. Step 4: Simplify right side
    311,780x = 453,437,930,884
  5. Step 5: Solve for x
    x = 453,437,930,884/311,780
  6. Step 6: Final answer
    x = 1,454,352.21

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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.