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Finding the Third Proportional to 270,299 and 405,449

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Solution

The third proportional to 270,299 and 405,449 is: 608,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,299 : 405,449 = 405,449 : x
  2. Step 2: Convert to fraction form
    270,299/405,449 = 405,449/x
  3. Step 3: Cross multiply
    270,299x = 405,449 × 405,449
  4. Step 4: Simplify right side
    270,299x = 164,388,891,601
  5. Step 5: Solve for x
    x = 164,388,891,601/270,299
  6. Step 6: Final answer
    x = 608,174.25

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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.