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Finding the Third Proportional to 259,731 and 405,999

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Solution

The third proportional to 259,731 and 405,999 is: 634,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,731 : 405,999 = 405,999 : x
  2. Step 2: Convert to fraction form
    259,731/405,999 = 405,999/x
  3. Step 3: Cross multiply
    259,731x = 405,999 × 405,999
  4. Step 4: Simplify right side
    259,731x = 164,835,188,001
  5. Step 5: Solve for x
    x = 164,835,188,001/259,731
  6. Step 6: Final answer
    x = 634,638.10

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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.