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Finding the Third Proportional to 378,450 and 567,731

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Solution

The third proportional to 378,450 and 567,731 is: 851,680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,450 : 567,731 = 567,731 : x
  2. Step 2: Convert to fraction form
    378,450/567,731 = 567,731/x
  3. Step 3: Cross multiply
    378,450x = 567,731 × 567,731
  4. Step 4: Simplify right side
    378,450x = 322,318,488,361
  5. Step 5: Solve for x
    x = 322,318,488,361/378,450
  6. Step 6: Final answer
    x = 851,680.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.