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Finding the Third Proportional to 218,832 and 328,464

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Solution

The third proportional to 218,832 and 328,464 is: 493,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,832 : 328,464 = 328,464 : x
  2. Step 2: Convert to fraction form
    218,832/328,464 = 328,464/x
  3. Step 3: Cross multiply
    218,832x = 328,464 × 328,464
  4. Step 4: Simplify right side
    218,832x = 107,888,599,296
  5. Step 5: Solve for x
    x = 107,888,599,296/218,832
  6. Step 6: Final answer
    x = 493,020.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.