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Finding the Third Proportional to 108,422 and 172,671

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Solution

The third proportional to 108,422 and 172,671 is: 274,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,422 : 172,671 = 172,671 : x
  2. Step 2: Convert to fraction form
    108,422/172,671 = 172,671/x
  3. Step 3: Cross multiply
    108,422x = 172,671 × 172,671
  4. Step 4: Simplify right side
    108,422x = 29,815,274,241
  5. Step 5: Solve for x
    x = 29,815,274,241/108,422
  6. Step 6: Final answer
    x = 274,992.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.