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Finding the Third Proportional to 311,812 and 456,054

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Solution

The third proportional to 311,812 and 456,054 is: 667,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,812 : 456,054 = 456,054 : x
  2. Step 2: Convert to fraction form
    311,812/456,054 = 456,054/x
  3. Step 3: Cross multiply
    311,812x = 456,054 × 456,054
  4. Step 4: Simplify right side
    311,812x = 207,985,250,916
  5. Step 5: Solve for x
    x = 207,985,250,916/311,812
  6. Step 6: Final answer
    x = 667,021.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.