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Finding the Third Proportional to 98.56 and 199.97

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Solution

The third proportional to 98.56 and 199.97 is: 405.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.56 : 199.97 = 199.97 : x
  2. Step 2: Convert to fraction form
    98.56/199.97 = 199.97/x
  3. Step 3: Cross multiply
    98.56x = 199.97 × 199.97
  4. Step 4: Simplify right side
    98.56x = 39,987.50
  5. Step 5: Solve for x
    x = 39,987.50/98.56
  6. Step 6: Final answer
    x = 405.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.