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Finding the Third Proportional to 263,614 and 408,530

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Solution

The third proportional to 263,614 and 408,530 is: 633,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,614 : 408,530 = 408,530 : x
  2. Step 2: Convert to fraction form
    263,614/408,530 = 408,530/x
  3. Step 3: Cross multiply
    263,614x = 408,530 × 408,530
  4. Step 4: Simplify right side
    263,614x = 166,896,760,900
  5. Step 5: Solve for x
    x = 166,896,760,900/263,614
  6. Step 6: Final answer
    x = 633,110.38

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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.