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Finding the Third Proportional to 234,945 and 378,296

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Solution

The third proportional to 234,945 and 378,296 is: 609,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,945 : 378,296 = 378,296 : x
  2. Step 2: Convert to fraction form
    234,945/378,296 = 378,296/x
  3. Step 3: Cross multiply
    234,945x = 378,296 × 378,296
  4. Step 4: Simplify right side
    234,945x = 143,107,863,616
  5. Step 5: Solve for x
    x = 143,107,863,616/234,945
  6. Step 6: Final answer
    x = 609,112.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.