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Finding the Third Proportional to 217,953 and 328,185

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Solution

The third proportional to 217,953 and 328,185 is: 494,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,953 : 328,185 = 328,185 : x
  2. Step 2: Convert to fraction form
    217,953/328,185 = 328,185/x
  3. Step 3: Cross multiply
    217,953x = 328,185 × 328,185
  4. Step 4: Simplify right side
    217,953x = 107,705,394,225
  5. Step 5: Solve for x
    x = 107,705,394,225/217,953
  6. Step 6: Final answer
    x = 494,167.98

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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.