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Finding the Third Proportional to 198,053 and 412,425

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Solution

The third proportional to 198,053 and 412,425 is: 858,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,053 : 412,425 = 412,425 : x
  2. Step 2: Convert to fraction form
    198,053/412,425 = 412,425/x
  3. Step 3: Cross multiply
    198,053x = 412,425 × 412,425
  4. Step 4: Simplify right side
    198,053x = 170,094,380,625
  5. Step 5: Solve for x
    x = 170,094,380,625/198,053
  6. Step 6: Final answer
    x = 858,832.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.