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Finding the Third Proportional to 74,919.75 and 159,375

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Solution

The third proportional to 74,919.75 and 159,375 is: 339,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,919.75 : 159,375 = 159,375 : x
  2. Step 2: Convert to fraction form
    74,919.75/159,375 = 159,375/x
  3. Step 3: Cross multiply
    74,919.75x = 159,375 × 159,375
  4. Step 4: Simplify right side
    74,919.75x = 25,400,390,625
  5. Step 5: Solve for x
    x = 25,400,390,625/74,919.75
  6. Step 6: Final answer
    x = 339,034.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.