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Finding the Third Proportional to 74,911 and 160,939

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Solution

The third proportional to 74,911 and 160,939 is: 345,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,911 : 160,939 = 160,939 : x
  2. Step 2: Convert to fraction form
    74,911/160,939 = 160,939/x
  3. Step 3: Cross multiply
    74,911x = 160,939 × 160,939
  4. Step 4: Simplify right side
    74,911x = 25,901,361,721
  5. Step 5: Solve for x
    x = 25,901,361,721/74,911
  6. Step 6: Final answer
    x = 345,761.79

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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.