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Finding the Third Proportional to 191,638 and 219,317

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Solution

The third proportional to 191,638 and 219,317 is: 250,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,638 : 219,317 = 219,317 : x
  2. Step 2: Convert to fraction form
    191,638/219,317 = 219,317/x
  3. Step 3: Cross multiply
    191,638x = 219,317 × 219,317
  4. Step 4: Simplify right side
    191,638x = 48,099,946,489
  5. Step 5: Solve for x
    x = 48,099,946,489/191,638
  6. Step 6: Final answer
    x = 250,993.78

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.