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Finding the Third Proportional to 311,868 and 676,440

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Solution

The third proportional to 311,868 and 676,440 is: 1,467,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868 : 676,440 = 676,440 : x
  2. Step 2: Convert to fraction form
    311,868/676,440 = 676,440/x
  3. Step 3: Cross multiply
    311,868x = 676,440 × 676,440
  4. Step 4: Simplify right side
    311,868x = 457,571,073,600
  5. Step 5: Solve for x
    x = 457,571,073,600/311,868
  6. Step 6: Final answer
    x = 1,467,194.69

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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.