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Finding the Third Proportional to 197,067 and 305,721

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Solution

The third proportional to 197,067 and 305,721 is: 474,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,067 : 305,721 = 305,721 : x
  2. Step 2: Convert to fraction form
    197,067/305,721 = 305,721/x
  3. Step 3: Cross multiply
    197,067x = 305,721 × 305,721
  4. Step 4: Simplify right side
    197,067x = 93,465,329,841
  5. Step 5: Solve for x
    x = 93,465,329,841/197,067
  6. Step 6: Final answer
    x = 474,281.99

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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.