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Finding the Third Proportional to 126,586 and 194,254

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Solution

The third proportional to 126,586 and 194,254 is: 298,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,586 : 194,254 = 194,254 : x
  2. Step 2: Convert to fraction form
    126,586/194,254 = 194,254/x
  3. Step 3: Cross multiply
    126,586x = 194,254 × 194,254
  4. Step 4: Simplify right side
    126,586x = 37,734,616,516
  5. Step 5: Solve for x
    x = 37,734,616,516/126,586
  6. Step 6: Final answer
    x = 298,094.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.