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Finding the Third Proportional to 191,198 and 415,564

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Solution

The third proportional to 191,198 and 415,564 is: 903,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,198 : 415,564 = 415,564 : x
  2. Step 2: Convert to fraction form
    191,198/415,564 = 415,564/x
  3. Step 3: Cross multiply
    191,198x = 415,564 × 415,564
  4. Step 4: Simplify right side
    191,198x = 172,693,438,096
  5. Step 5: Solve for x
    x = 172,693,438,096/191,198
  6. Step 6: Final answer
    x = 903,217.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.