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Finding the Third Proportional to 120,531.75 and 259,203.25

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Solution

The third proportional to 120,531.75 and 259,203.25 is: 557,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,531.75 : 259,203.25 = 259,203.25 : x
  2. Step 2: Convert to fraction form
    120,531.75/259,203.25 = 259,203.25/x
  3. Step 3: Cross multiply
    120,531.75x = 259,203.25 × 259,203.25
  4. Step 4: Simplify right side
    120,531.75x = 67,186,324,810.56
  5. Step 5: Solve for x
    x = 67,186,324,810.56/120,531.75
  6. Step 6: Final answer
    x = 557,415.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.