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Finding the Third Proportional to 108,956 and 171,206

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Solution

The third proportional to 108,956 and 171,206 is: 269,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,956 : 171,206 = 171,206 : x
  2. Step 2: Convert to fraction form
    108,956/171,206 = 171,206/x
  3. Step 3: Cross multiply
    108,956x = 171,206 × 171,206
  4. Step 4: Simplify right side
    108,956x = 29,311,494,436
  5. Step 5: Solve for x
    x = 29,311,494,436/108,956
  6. Step 6: Final answer
    x = 269,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.