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Finding the Third Proportional to 135.28 and 280.90

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Solution

The third proportional to 135.28 and 280.90 is: 583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.28 : 280.90 = 280.90 : x
  2. Step 2: Convert to fraction form
    135.28/280.90 = 280.90/x
  3. Step 3: Cross multiply
    135.28x = 280.90 × 280.90
  4. Step 4: Simplify right side
    135.28x = 78,903.93
  5. Step 5: Solve for x
    x = 78,903.93/135.28
  6. Step 6: Final answer
    x = 583.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.