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Finding the Third Proportional to 2.51 and 5.45

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Solution

The third proportional to 2.51 and 5.45 is: 11.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 5.45 = 5.45 : x
  2. Step 2: Convert to fraction form
    2.51/5.45 = 5.45/x
  3. Step 3: Cross multiply
    2.51x = 5.45 × 5.45
  4. Step 4: Simplify right side
    2.51x = 29.70
  5. Step 5: Solve for x
    x = 29.70/2.51
  6. Step 6: Final answer
    x = 11.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.