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Finding the Third Proportional to 313,200 and 670,680

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Solution

The third proportional to 313,200 and 670,680 is: 1,436,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,200 : 670,680 = 670,680 : x
  2. Step 2: Convert to fraction form
    313,200/670,680 = 670,680/x
  3. Step 3: Cross multiply
    313,200x = 670,680 × 670,680
  4. Step 4: Simplify right side
    313,200x = 449,811,662,400
  5. Step 5: Solve for x
    x = 449,811,662,400/313,200
  6. Step 6: Final answer
    x = 1,436,180.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.