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Finding the Third Proportional to 270,299 and 414,607

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Solution

The third proportional to 270,299 and 414,607 is: 635,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,299 : 414,607 = 414,607 : x
  2. Step 2: Convert to fraction form
    270,299/414,607 = 414,607/x
  3. Step 3: Cross multiply
    270,299x = 414,607 × 414,607
  4. Step 4: Simplify right side
    270,299x = 171,898,964,449
  5. Step 5: Solve for x
    x = 171,898,964,449/270,299
  6. Step 6: Final answer
    x = 635,958.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.