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Finding the Third Proportional to 311,370 and 481,635

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Solution

The third proportional to 311,370 and 481,635 is: 745,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,370 : 481,635 = 481,635 : x
  2. Step 2: Convert to fraction form
    311,370/481,635 = 481,635/x
  3. Step 3: Cross multiply
    311,370x = 481,635 × 481,635
  4. Step 4: Simplify right side
    311,370x = 231,972,273,225
  5. Step 5: Solve for x
    x = 231,972,273,225/311,370
  6. Step 6: Final answer
    x = 745,005.21

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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.