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Finding the Third Proportional to 272.69 and 421.97

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Solution

The third proportional to 272.69 and 421.97 is: 652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.69 : 421.97 = 421.97 : x
  2. Step 2: Convert to fraction form
    272.69/421.97 = 421.97/x
  3. Step 3: Cross multiply
    272.69x = 421.97 × 421.97
  4. Step 4: Simplify right side
    272.69x = 178,057.63
  5. Step 5: Solve for x
    x = 178,057.63/272.69
  6. Step 6: Final answer
    x = 652.97

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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.