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Finding the Third Proportional to 81,378 and 167,976

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Solution

The third proportional to 81,378 and 167,976 is: 346,726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378 : 167,976 = 167,976 : x
  2. Step 2: Convert to fraction form
    81,378/167,976 = 167,976/x
  3. Step 3: Cross multiply
    81,378x = 167,976 × 167,976
  4. Step 4: Simplify right side
    81,378x = 28,215,936,576
  5. Step 5: Solve for x
    x = 28,215,936,576/81,378
  6. Step 6: Final answer
    x = 346,726.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.