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Finding the Third Proportional to 108,238 and 161,917

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Solution

The third proportional to 108,238 and 161,917 is: 242,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,238 : 161,917 = 161,917 : x
  2. Step 2: Convert to fraction form
    108,238/161,917 = 161,917/x
  3. Step 3: Cross multiply
    108,238x = 161,917 × 161,917
  4. Step 4: Simplify right side
    108,238x = 26,217,114,889
  5. Step 5: Solve for x
    x = 26,217,114,889/108,238
  6. Step 6: Final answer
    x = 242,217.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.