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Finding the Third Proportional to 259,717 and 405,987

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Solution

The third proportional to 259,717 and 405,987 is: 634,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,717 : 405,987 = 405,987 : x
  2. Step 2: Convert to fraction form
    259,717/405,987 = 405,987/x
  3. Step 3: Cross multiply
    259,717x = 405,987 × 405,987
  4. Step 4: Simplify right side
    259,717x = 164,825,444,169
  5. Step 5: Solve for x
    x = 164,825,444,169/259,717
  6. Step 6: Final answer
    x = 634,634.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.