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Finding the Third Proportional to 127.97 and 213.05

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Solution

The third proportional to 127.97 and 213.05 is: 354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 213.05 = 213.05 : x
  2. Step 2: Convert to fraction form
    127.97/213.05 = 213.05/x
  3. Step 3: Cross multiply
    127.97x = 213.05 × 213.05
  4. Step 4: Simplify right side
    127.97x = 45,388.97
  5. Step 5: Solve for x
    x = 45,388.97/127.97
  6. Step 6: Final answer
    x = 354.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.