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Finding the Third Proportional to 263,902 and 408,894

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Solution

The third proportional to 263,902 and 408,894 is: 633,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,902 : 408,894 = 408,894 : x
  2. Step 2: Convert to fraction form
    263,902/408,894 = 408,894/x
  3. Step 3: Cross multiply
    263,902x = 408,894 × 408,894
  4. Step 4: Simplify right side
    263,902x = 167,194,303,236
  5. Step 5: Solve for x
    x = 167,194,303,236/263,902
  6. Step 6: Final answer
    x = 633,546.93

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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.