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Finding the Third Proportional to 197,946 and 305,811

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Solution

The third proportional to 197,946 and 305,811 is: 472,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,946 : 305,811 = 305,811 : x
  2. Step 2: Convert to fraction form
    197,946/305,811 = 305,811/x
  3. Step 3: Cross multiply
    197,946x = 305,811 × 305,811
  4. Step 4: Simplify right side
    197,946x = 93,520,367,721
  5. Step 5: Solve for x
    x = 93,520,367,721/197,946
  6. Step 6: Final answer
    x = 472,453.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.