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Finding the Third Proportional to 128.53 and 271.97

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Solution

The third proportional to 128.53 and 271.97 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.53 : 271.97 = 271.97 : x
  2. Step 2: Convert to fraction form
    128.53/271.97 = 271.97/x
  3. Step 3: Cross multiply
    128.53x = 271.97 × 271.97
  4. Step 4: Simplify right side
    128.53x = 73,967.00
  5. Step 5: Solve for x
    x = 73,967.00/128.53
  6. Step 6: Final answer
    x = 575.48

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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.