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Finding the Third Proportional to 245.38 and 270.88

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Solution

The third proportional to 245.38 and 270.88 is: 299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.38 : 270.88 = 270.88 : x
  2. Step 2: Convert to fraction form
    245.38/270.88 = 270.88/x
  3. Step 3: Cross multiply
    245.38x = 270.88 × 270.88
  4. Step 4: Simplify right side
    245.38x = 73,373.27
  5. Step 5: Solve for x
    x = 73,373.27/245.38
  6. Step 6: Final answer
    x = 299.03

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.