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Finding the Third Proportional to 263,016 and 406,800

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Solution

The third proportional to 263,016 and 406,800 is: 629,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,016 : 406,800 = 406,800 : x
  2. Step 2: Convert to fraction form
    263,016/406,800 = 406,800/x
  3. Step 3: Cross multiply
    263,016x = 406,800 × 406,800
  4. Step 4: Simplify right side
    263,016x = 165,486,240,000
  5. Step 5: Solve for x
    x = 165,486,240,000/263,016
  6. Step 6: Final answer
    x = 629,186.97

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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.