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Finding the Third Proportional to 135.14 and 270.28

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Solution

The third proportional to 135.14 and 270.28 is: 540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 270.28 = 270.28 : x
  2. Step 2: Convert to fraction form
    135.14/270.28 = 270.28/x
  3. Step 3: Cross multiply
    135.14x = 270.28 × 270.28
  4. Step 4: Simplify right side
    135.14x = 73,051.95
  5. Step 5: Solve for x
    x = 73,051.95/135.14
  6. Step 6: Final answer
    x = 540.56

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.