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Finding the Third Proportional to 127.83 and 271.97

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Solution

The third proportional to 127.83 and 271.97 is: 578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.83 : 271.97 = 271.97 : x
  2. Step 2: Convert to fraction form
    127.83/271.97 = 271.97/x
  3. Step 3: Cross multiply
    127.83x = 271.97 × 271.97
  4. Step 4: Simplify right side
    127.83x = 73,967.00
  5. Step 5: Solve for x
    x = 73,967.00/127.83
  6. Step 6: Final answer
    x = 578.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.