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Finding the Third Proportional to 311,750 and 678,092

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Solution

The third proportional to 311,750 and 678,092 is: 1,474,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,750 : 678,092 = 678,092 : x
  2. Step 2: Convert to fraction form
    311,750/678,092 = 678,092/x
  3. Step 3: Cross multiply
    311,750x = 678,092 × 678,092
  4. Step 4: Simplify right side
    311,750x = 459,808,760,464
  5. Step 5: Solve for x
    x = 459,808,760,464/311,750
  6. Step 6: Final answer
    x = 1,474,927.86

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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.