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Finding the Third Proportional to 311,467 and 670,320

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Solution

The third proportional to 311,467 and 670,320 is: 1,442,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,467 : 670,320 = 670,320 : x
  2. Step 2: Convert to fraction form
    311,467/670,320 = 670,320/x
  3. Step 3: Cross multiply
    311,467x = 670,320 × 670,320
  4. Step 4: Simplify right side
    311,467x = 449,328,902,400
  5. Step 5: Solve for x
    x = 449,328,902,400/311,467
  6. Step 6: Final answer
    x = 1,442,621.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.