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Finding the Third Proportional to 270.75 and 418.38

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Solution

The third proportional to 270.75 and 418.38 is: 646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 418.38 = 418.38 : x
  2. Step 2: Convert to fraction form
    270.75/418.38 = 418.38/x
  3. Step 3: Cross multiply
    270.75x = 418.38 × 418.38
  4. Step 4: Simplify right side
    270.75x = 175,037.64
  5. Step 5: Solve for x
    x = 175,037.64/270.75
  6. Step 6: Final answer
    x = 646.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.