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Finding the Third Proportional to 270.35 and 414.45

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Solution

The third proportional to 270.35 and 414.45 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.35 : 414.45 = 414.45 : x
  2. Step 2: Convert to fraction form
    270.35/414.45 = 414.45/x
  3. Step 3: Cross multiply
    270.35x = 414.45 × 414.45
  4. Step 4: Simplify right side
    270.35x = 171,770.99
  5. Step 5: Solve for x
    x = 171,770.99/270.35
  6. Step 6: Final answer
    x = 635.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.