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Finding the Third Proportional to 198,830 and 418,180

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Solution

The third proportional to 198,830 and 418,180 is: 879,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,830 : 418,180 = 418,180 : x
  2. Step 2: Convert to fraction form
    198,830/418,180 = 418,180/x
  3. Step 3: Cross multiply
    198,830x = 418,180 × 418,180
  4. Step 4: Simplify right side
    198,830x = 174,874,512,400
  5. Step 5: Solve for x
    x = 174,874,512,400/198,830
  6. Step 6: Final answer
    x = 879,517.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.