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Finding the Third Proportional to 263,625 and 408,546

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Solution

The third proportional to 263,625 and 408,546 is: 633,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,625 : 408,546 = 408,546 : x
  2. Step 2: Convert to fraction form
    263,625/408,546 = 408,546/x
  3. Step 3: Cross multiply
    263,625x = 408,546 × 408,546
  4. Step 4: Simplify right side
    263,625x = 166,909,834,116
  5. Step 5: Solve for x
    x = 166,909,834,116/263,625
  6. Step 6: Final answer
    x = 633,133.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.