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Finding the Third Proportional to 198,456 and 426,864

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Solution

The third proportional to 198,456 and 426,864 is: 918,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,456 : 426,864 = 426,864 : x
  2. Step 2: Convert to fraction form
    198,456/426,864 = 426,864/x
  3. Step 3: Cross multiply
    198,456x = 426,864 × 426,864
  4. Step 4: Simplify right side
    198,456x = 182,212,874,496
  5. Step 5: Solve for x
    x = 182,212,874,496/198,456
  6. Step 6: Final answer
    x = 918,152.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.