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Finding the Third Proportional to 172,863 and 271,171

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Solution

The third proportional to 172,863 and 271,171 is: 425,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,863 : 271,171 = 271,171 : x
  2. Step 2: Convert to fraction form
    172,863/271,171 = 271,171/x
  3. Step 3: Cross multiply
    172,863x = 271,171 × 271,171
  4. Step 4: Simplify right side
    172,863x = 73,533,711,241
  5. Step 5: Solve for x
    x = 73,533,711,241/172,863
  6. Step 6: Final answer
    x = 425,387.22

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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.