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Finding the Third Proportional to 219,500 and 328,311

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Solution

The third proportional to 219,500 and 328,311 is: 491,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,500 : 328,311 = 328,311 : x
  2. Step 2: Convert to fraction form
    219,500/328,311 = 328,311/x
  3. Step 3: Cross multiply
    219,500x = 328,311 × 328,311
  4. Step 4: Simplify right side
    219,500x = 107,788,112,721
  5. Step 5: Solve for x
    x = 107,788,112,721/219,500
  6. Step 6: Final answer
    x = 491,062.02

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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.