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Finding the Third Proportional to 108,660 and 171,738

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Solution

The third proportional to 108,660 and 171,738 is: 271,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,660 : 171,738 = 171,738 : x
  2. Step 2: Convert to fraction form
    108,660/171,738 = 171,738/x
  3. Step 3: Cross multiply
    108,660x = 171,738 × 171,738
  4. Step 4: Simplify right side
    108,660x = 29,493,940,644
  5. Step 5: Solve for x
    x = 29,493,940,644/108,660
  6. Step 6: Final answer
    x = 271,433.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.