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Finding the Third Proportional to 259,172.75 and 405,679.50

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Solution

The third proportional to 259,172.75 and 405,679.50 is: 635,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,172.75 : 405,679.50 = 405,679.50 : x
  2. Step 2: Convert to fraction form
    259,172.75/405,679.50 = 405,679.50/x
  3. Step 3: Cross multiply
    259,172.75x = 405,679.50 × 405,679.50
  4. Step 4: Simplify right side
    259,172.75x = 164,575,856,720.25
  5. Step 5: Solve for x
    x = 164,575,856,720.25/259,172.75
  6. Step 6: Final answer
    x = 635,004.48

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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.