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Finding the Third Proportional to 218,092 and 328,231

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Solution

The third proportional to 218,092 and 328,231 is: 493,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,092 : 328,231 = 328,231 : x
  2. Step 2: Convert to fraction form
    218,092/328,231 = 328,231/x
  3. Step 3: Cross multiply
    218,092x = 328,231 × 328,231
  4. Step 4: Simplify right side
    218,092x = 107,735,589,361
  5. Step 5: Solve for x
    x = 107,735,589,361/218,092
  6. Step 6: Final answer
    x = 493,991.48

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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.