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Finding the Third Proportional to 126,529 and 189,442

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Solution

The third proportional to 126,529 and 189,442 is: 283,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,529 : 189,442 = 189,442 : x
  2. Step 2: Convert to fraction form
    126,529/189,442 = 189,442/x
  3. Step 3: Cross multiply
    126,529x = 189,442 × 189,442
  4. Step 4: Simplify right side
    126,529x = 35,888,271,364
  5. Step 5: Solve for x
    x = 35,888,271,364/126,529
  6. Step 6: Final answer
    x = 283,636.73

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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.