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Finding the Third Proportional to 250,311 and 397,977

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Solution

The third proportional to 250,311 and 397,977 is: 632,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,311 : 397,977 = 397,977 : x
  2. Step 2: Convert to fraction form
    250,311/397,977 = 397,977/x
  3. Step 3: Cross multiply
    250,311x = 397,977 × 397,977
  4. Step 4: Simplify right side
    250,311x = 158,385,692,529
  5. Step 5: Solve for x
    x = 158,385,692,529/250,311
  6. Step 6: Final answer
    x = 632,755.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.