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Finding the Third Proportional to 74,939 and 158,242

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Solution

The third proportional to 74,939 and 158,242 is: 334,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,939 : 158,242 = 158,242 : x
  2. Step 2: Convert to fraction form
    74,939/158,242 = 158,242/x
  3. Step 3: Cross multiply
    74,939x = 158,242 × 158,242
  4. Step 4: Simplify right side
    74,939x = 25,040,530,564
  5. Step 5: Solve for x
    x = 25,040,530,564/74,939
  6. Step 6: Final answer
    x = 334,145.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.