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Finding the Third Proportional to 128.46 and 270.21

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Solution

The third proportional to 128.46 and 270.21 is: 568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.46 : 270.21 = 270.21 : x
  2. Step 2: Convert to fraction form
    128.46/270.21 = 270.21/x
  3. Step 3: Cross multiply
    128.46x = 270.21 × 270.21
  4. Step 4: Simplify right side
    128.46x = 73,013.95
  5. Step 5: Solve for x
    x = 73,013.95/128.46
  6. Step 6: Final answer
    x = 568.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.