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Finding the Third Proportional to 39,660 and 82,608

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Solution

The third proportional to 39,660 and 82,608 is: 172,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,660 : 82,608 = 82,608 : x
  2. Step 2: Convert to fraction form
    39,660/82,608 = 82,608/x
  3. Step 3: Cross multiply
    39,660x = 82,608 × 82,608
  4. Step 4: Simplify right side
    39,660x = 6,824,081,664
  5. Step 5: Solve for x
    x = 6,824,081,664/39,660
  6. Step 6: Final answer
    x = 172,064.59

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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.