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Finding the Third Proportional to 197,180 and 305,886

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Solution

The third proportional to 197,180 and 305,886 is: 474,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,180 : 305,886 = 305,886 : x
  2. Step 2: Convert to fraction form
    197,180/305,886 = 305,886/x
  3. Step 3: Cross multiply
    197,180x = 305,886 × 305,886
  4. Step 4: Simplify right side
    197,180x = 93,566,244,996
  5. Step 5: Solve for x
    x = 93,566,244,996/197,180
  6. Step 6: Final answer
    x = 474,521.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.