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Finding the Third Proportional to 98.72 and 208.83

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Solution

The third proportional to 98.72 and 208.83 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.72 : 208.83 = 208.83 : x
  2. Step 2: Convert to fraction form
    98.72/208.83 = 208.83/x
  3. Step 3: Cross multiply
    98.72x = 208.83 × 208.83
  4. Step 4: Simplify right side
    98.72x = 43,609.19
  5. Step 5: Solve for x
    x = 43,609.19/98.72
  6. Step 6: Final answer
    x = 441.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.