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Finding the Third Proportional to 38,388 and 82,608

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Solution

The third proportional to 38,388 and 82,608 is: 177,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388 : 82,608 = 82,608 : x
  2. Step 2: Convert to fraction form
    38,388/82,608 = 82,608/x
  3. Step 3: Cross multiply
    38,388x = 82,608 × 82,608
  4. Step 4: Simplify right side
    38,388x = 6,824,081,664
  5. Step 5: Solve for x
    x = 6,824,081,664/38,388
  6. Step 6: Final answer
    x = 177,766.01

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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.