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Finding the Third Proportional to 128.95 and 270.70

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Solution

The third proportional to 128.95 and 270.70 is: 568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.95 : 270.70 = 270.70 : x
  2. Step 2: Convert to fraction form
    128.95/270.70 = 270.70/x
  3. Step 3: Cross multiply
    128.95x = 270.70 × 270.70
  4. Step 4: Simplify right side
    128.95x = 73,280.18
  5. Step 5: Solve for x
    x = 73,280.18/128.95
  6. Step 6: Final answer
    x = 568.27

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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.