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Finding the Third Proportional to 126,242 and 189,690

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Solution

The third proportional to 126,242 and 189,690 is: 285,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,242 : 189,690 = 189,690 : x
  2. Step 2: Convert to fraction form
    126,242/189,690 = 189,690/x
  3. Step 3: Cross multiply
    126,242x = 189,690 × 189,690
  4. Step 4: Simplify right side
    126,242x = 35,982,296,100
  5. Step 5: Solve for x
    x = 35,982,296,100/126,242
  6. Step 6: Final answer
    x = 285,026.35

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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.