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Finding the Third Proportional to 259,691 and 405,939

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Solution

The third proportional to 259,691 and 405,939 is: 634,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,691 : 405,939 = 405,939 : x
  2. Step 2: Convert to fraction form
    259,691/405,939 = 405,939/x
  3. Step 3: Cross multiply
    259,691x = 405,939 × 405,939
  4. Step 4: Simplify right side
    259,691x = 164,786,471,721
  5. Step 5: Solve for x
    x = 164,786,471,721/259,691
  6. Step 6: Final answer
    x = 634,548.26

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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.