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Finding the Third Proportional to 172,636 and 271,268

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Solution

The third proportional to 172,636 and 271,268 is: 426,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,636 : 271,268 = 271,268 : x
  2. Step 2: Convert to fraction form
    172,636/271,268 = 271,268/x
  3. Step 3: Cross multiply
    172,636x = 271,268 × 271,268
  4. Step 4: Simplify right side
    172,636x = 73,586,327,824
  5. Step 5: Solve for x
    x = 73,586,327,824/172,636
  6. Step 6: Final answer
    x = 426,251.35

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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.