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Finding the Third Proportional to 86,976 and 167,040

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Solution

The third proportional to 86,976 and 167,040 is: 320,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,976 : 167,040 = 167,040 : x
  2. Step 2: Convert to fraction form
    86,976/167,040 = 167,040/x
  3. Step 3: Cross multiply
    86,976x = 167,040 × 167,040
  4. Step 4: Simplify right side
    86,976x = 27,902,361,600
  5. Step 5: Solve for x
    x = 27,902,361,600/86,976
  6. Step 6: Final answer
    x = 320,805.30

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.