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Finding the Third Proportional to 91,189 and 136,419

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Solution

The third proportional to 91,189 and 136,419 is: 204,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,189 : 136,419 = 136,419 : x
  2. Step 2: Convert to fraction form
    91,189/136,419 = 136,419/x
  3. Step 3: Cross multiply
    91,189x = 136,419 × 136,419
  4. Step 4: Simplify right side
    91,189x = 18,610,143,561
  5. Step 5: Solve for x
    x = 18,610,143,561/91,189
  6. Step 6: Final answer
    x = 204,083.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.