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Finding the Third Proportional to 108,892 and 171,115

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Solution

The third proportional to 108,892 and 171,115 is: 268,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,892 : 171,115 = 171,115 : x
  2. Step 2: Convert to fraction form
    108,892/171,115 = 171,115/x
  3. Step 3: Cross multiply
    108,892x = 171,115 × 171,115
  4. Step 4: Simplify right side
    108,892x = 29,280,343,225
  5. Step 5: Solve for x
    x = 29,280,343,225/108,892
  6. Step 6: Final answer
    x = 268,893.43

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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.