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Finding the Third Proportional to 218,090 and 328,227

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Solution

The third proportional to 218,090 and 328,227 is: 493,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,090 : 328,227 = 328,227 : x
  2. Step 2: Convert to fraction form
    218,090/328,227 = 328,227/x
  3. Step 3: Cross multiply
    218,090x = 328,227 × 328,227
  4. Step 4: Simplify right side
    218,090x = 107,732,963,529
  5. Step 5: Solve for x
    x = 107,732,963,529/218,090
  6. Step 6: Final answer
    x = 493,983.97

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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.