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Finding the Third Proportional to 100,424 and 198,328

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Solution

The third proportional to 100,424 and 198,328 is: 391,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424 : 198,328 = 198,328 : x
  2. Step 2: Convert to fraction form
    100,424/198,328 = 198,328/x
  3. Step 3: Cross multiply
    100,424x = 198,328 × 198,328
  4. Step 4: Simplify right side
    100,424x = 39,333,995,584
  5. Step 5: Solve for x
    x = 39,333,995,584/100,424
  6. Step 6: Final answer
    x = 391,679.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.