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Finding the Third Proportional to 311,376 and 481,644

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Solution

The third proportional to 311,376 and 481,644 is: 745,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,376 : 481,644 = 481,644 : x
  2. Step 2: Convert to fraction form
    311,376/481,644 = 481,644/x
  3. Step 3: Cross multiply
    311,376x = 481,644 × 481,644
  4. Step 4: Simplify right side
    311,376x = 231,980,942,736
  5. Step 5: Solve for x
    x = 231,980,942,736/311,376
  6. Step 6: Final answer
    x = 745,018.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.