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Finding the Third Proportional to 135,367 and 198,433

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Solution

The third proportional to 135,367 and 198,433 is: 290,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,367 : 198,433 = 198,433 : x
  2. Step 2: Convert to fraction form
    135,367/198,433 = 198,433/x
  3. Step 3: Cross multiply
    135,367x = 198,433 × 198,433
  4. Step 4: Simplify right side
    135,367x = 39,375,655,489
  5. Step 5: Solve for x
    x = 39,375,655,489/135,367
  6. Step 6: Final answer
    x = 290,880.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.