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Finding the Third Proportional to 90,330 and 134,189

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Solution

The third proportional to 90,330 and 134,189 is: 199,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,330 : 134,189 = 134,189 : x
  2. Step 2: Convert to fraction form
    90,330/134,189 = 134,189/x
  3. Step 3: Cross multiply
    90,330x = 134,189 × 134,189
  4. Step 4: Simplify right side
    90,330x = 18,006,687,721
  5. Step 5: Solve for x
    x = 18,006,687,721/90,330
  6. Step 6: Final answer
    x = 199,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.