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Finding the Third Proportional to 100,374 and 198,228

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Solution

The third proportional to 100,374 and 198,228 is: 391,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,374 : 198,228 = 198,228 : x
  2. Step 2: Convert to fraction form
    100,374/198,228 = 198,228/x
  3. Step 3: Cross multiply
    100,374x = 198,228 × 198,228
  4. Step 4: Simplify right side
    100,374x = 39,294,339,984
  5. Step 5: Solve for x
    x = 39,294,339,984/100,374
  6. Step 6: Final answer
    x = 391,479.27

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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.