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Finding the Third Proportional to 263,731 and 408,627

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Solution

The third proportional to 263,731 and 408,627 is: 633,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,731 : 408,627 = 408,627 : x
  2. Step 2: Convert to fraction form
    263,731/408,627 = 408,627/x
  3. Step 3: Cross multiply
    263,731x = 408,627 × 408,627
  4. Step 4: Simplify right side
    263,731x = 166,976,025,129
  5. Step 5: Solve for x
    x = 166,976,025,129/263,731
  6. Step 6: Final answer
    x = 633,130.06

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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.