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Finding the Third Proportional to 263,580 and 408,493

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Solution

The third proportional to 263,580 and 408,493 is: 633,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,580 : 408,493 = 408,493 : x
  2. Step 2: Convert to fraction form
    263,580/408,493 = 408,493/x
  3. Step 3: Cross multiply
    263,580x = 408,493 × 408,493
  4. Step 4: Simplify right side
    263,580x = 166,866,531,049
  5. Step 5: Solve for x
    x = 166,866,531,049/263,580
  6. Step 6: Final answer
    x = 633,077.36

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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.