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Finding the Third Proportional to 259,194 and 405,721

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Solution

The third proportional to 259,194 and 405,721 is: 635,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,194 : 405,721 = 405,721 : x
  2. Step 2: Convert to fraction form
    259,194/405,721 = 405,721/x
  3. Step 3: Cross multiply
    259,194x = 405,721 × 405,721
  4. Step 4: Simplify right side
    259,194x = 164,609,529,841
  5. Step 5: Solve for x
    x = 164,609,529,841/259,194
  6. Step 6: Final answer
    x = 635,082.33

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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.