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Finding the Third Proportional to 2.55 and 5.14

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Solution

The third proportional to 2.55 and 5.14 is: 10.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.55 : 5.14 = 5.14 : x
  2. Step 2: Convert to fraction form
    2.55/5.14 = 5.14/x
  3. Step 3: Cross multiply
    2.55x = 5.14 × 5.14
  4. Step 4: Simplify right side
    2.55x = 26.44
  5. Step 5: Solve for x
    x = 26.44/2.55
  6. Step 6: Final answer
    x = 10.35

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.