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Finding the Third Proportional to 76,815 and 159,761

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Solution

The third proportional to 76,815 and 159,761 is: 332,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,815 : 159,761 = 159,761 : x
  2. Step 2: Convert to fraction form
    76,815/159,761 = 159,761/x
  3. Step 3: Cross multiply
    76,815x = 159,761 × 159,761
  4. Step 4: Simplify right side
    76,815x = 25,523,577,121
  5. Step 5: Solve for x
    x = 25,523,577,121/76,815
  6. Step 6: Final answer
    x = 332,273.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.