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Finding the Third Proportional to 217,954 and 328,187

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Solution

The third proportional to 217,954 and 328,187 is: 494,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,954 : 328,187 = 328,187 : x
  2. Step 2: Convert to fraction form
    217,954/328,187 = 328,187/x
  3. Step 3: Cross multiply
    217,954x = 328,187 × 328,187
  4. Step 4: Simplify right side
    217,954x = 107,706,706,969
  5. Step 5: Solve for x
    x = 107,706,706,969/217,954
  6. Step 6: Final answer
    x = 494,171.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.