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Finding the Third Proportional to 311,754 and 678,100

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Solution

The third proportional to 311,754 and 678,100 is: 1,474,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,754 : 678,100 = 678,100 : x
  2. Step 2: Convert to fraction form
    311,754/678,100 = 678,100/x
  3. Step 3: Cross multiply
    311,754x = 678,100 × 678,100
  4. Step 4: Simplify right side
    311,754x = 459,819,610,000
  5. Step 5: Solve for x
    x = 459,819,610,000/311,754
  6. Step 6: Final answer
    x = 1,474,943.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.