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Finding the Third Proportional to 270,794 and 378,567.63

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Solution

The third proportional to 270,794 and 378,567.63 is: 529,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,794 : 378,567.63 = 378,567.63 : x
  2. Step 2: Convert to fraction form
    270,794/378,567.63 = 378,567.63/x
  3. Step 3: Cross multiply
    270,794x = 378,567.63 × 378,567.63
  4. Step 4: Simplify right side
    270,794x = 143,313,446,698.14
  5. Step 5: Solve for x
    x = 143,313,446,698.14/270,794
  6. Step 6: Final answer
    x = 529,234.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.