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Finding the Third Proportional to 259,189 and 405,711

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Solution

The third proportional to 259,189 and 405,711 is: 635,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,189 : 405,711 = 405,711 : x
  2. Step 2: Convert to fraction form
    259,189/405,711 = 405,711/x
  3. Step 3: Cross multiply
    259,189x = 405,711 × 405,711
  4. Step 4: Simplify right side
    259,189x = 164,601,415,521
  5. Step 5: Solve for x
    x = 164,601,415,521/259,189
  6. Step 6: Final answer
    x = 635,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.