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Finding the Third Proportional to 219,198 and 328,800

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Solution

The third proportional to 219,198 and 328,800 is: 493,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,198 : 328,800 = 328,800 : x
  2. Step 2: Convert to fraction form
    219,198/328,800 = 328,800/x
  3. Step 3: Cross multiply
    219,198x = 328,800 × 328,800
  4. Step 4: Simplify right side
    219,198x = 108,109,440,000
  5. Step 5: Solve for x
    x = 108,109,440,000/219,198
  6. Step 6: Final answer
    x = 493,204.50

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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.