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Finding the Third Proportional to 76,996 and 160,112

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Solution

The third proportional to 76,996 and 160,112 is: 332,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996 : 160,112 = 160,112 : x
  2. Step 2: Convert to fraction form
    76,996/160,112 = 160,112/x
  3. Step 3: Cross multiply
    76,996x = 160,112 × 160,112
  4. Step 4: Simplify right side
    76,996x = 25,635,852,544
  5. Step 5: Solve for x
    x = 25,635,852,544/76,996
  6. Step 6: Final answer
    x = 332,950.45

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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.