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Finding the Third Proportional to 108,198 and 233,676

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Solution

The third proportional to 108,198 and 233,676 is: 504,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,198 : 233,676 = 233,676 : x
  2. Step 2: Convert to fraction form
    108,198/233,676 = 233,676/x
  3. Step 3: Cross multiply
    108,198x = 233,676 × 233,676
  4. Step 4: Simplify right side
    108,198x = 54,604,472,976
  5. Step 5: Solve for x
    x = 54,604,472,976/108,198
  6. Step 6: Final answer
    x = 504,671.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.