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Finding the Third Proportional to 115,546.50 and 248,339.25

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Solution

The third proportional to 115,546.50 and 248,339.25 is: 533,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,546.50 : 248,339.25 = 248,339.25 : x
  2. Step 2: Convert to fraction form
    115,546.50/248,339.25 = 248,339.25/x
  3. Step 3: Cross multiply
    115,546.50x = 248,339.25 × 248,339.25
  4. Step 4: Simplify right side
    115,546.50x = 61,672,383,090.56
  5. Step 5: Solve for x
    x = 61,672,383,090.56/115,546.50
  6. Step 6: Final answer
    x = 533,745.14

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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.