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Finding the Third Proportional to 263,136 and 408,186

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Solution

The third proportional to 263,136 and 408,186 is: 633,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,136 : 408,186 = 408,186 : x
  2. Step 2: Convert to fraction form
    263,136/408,186 = 408,186/x
  3. Step 3: Cross multiply
    263,136x = 408,186 × 408,186
  4. Step 4: Simplify right side
    263,136x = 166,615,810,596
  5. Step 5: Solve for x
    x = 166,615,810,596/263,136
  6. Step 6: Final answer
    x = 633,192.76

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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.