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Finding the Third Proportional to 313,912 and 678,120

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Solution

The third proportional to 313,912 and 678,120 is: 1,464,890.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,912 : 678,120 = 678,120 : x
  2. Step 2: Convert to fraction form
    313,912/678,120 = 678,120/x
  3. Step 3: Cross multiply
    313,912x = 678,120 × 678,120
  4. Step 4: Simplify right side
    313,912x = 459,846,734,400
  5. Step 5: Solve for x
    x = 459,846,734,400/313,912
  6. Step 6: Final answer
    x = 1,464,890.59

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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.