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Finding the Third Proportional to 101.48 and 208.97

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Solution

The third proportional to 101.48 and 208.97 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.48 : 208.97 = 208.97 : x
  2. Step 2: Convert to fraction form
    101.48/208.97 = 208.97/x
  3. Step 3: Cross multiply
    101.48x = 208.97 × 208.97
  4. Step 4: Simplify right side
    101.48x = 43,667.94
  5. Step 5: Solve for x
    x = 43,667.94/101.48
  6. Step 6: Final answer
    x = 430.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.