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Finding the Third Proportional to 263,710 and 408,081

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Solution

The third proportional to 263,710 and 408,081 is: 631,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,710 : 408,081 = 408,081 : x
  2. Step 2: Convert to fraction form
    263,710/408,081 = 408,081/x
  3. Step 3: Cross multiply
    263,710x = 408,081 × 408,081
  4. Step 4: Simplify right side
    263,710x = 166,530,102,561
  5. Step 5: Solve for x
    x = 166,530,102,561/263,710
  6. Step 6: Final answer
    x = 631,489.52

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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.