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Finding the Third Proportional to 11.80 and 25.12

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Solution

The third proportional to 11.80 and 25.12 is: 53.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.80 : 25.12 = 25.12 : x
  2. Step 2: Convert to fraction form
    11.80/25.12 = 25.12/x
  3. Step 3: Cross multiply
    11.80x = 25.12 × 25.12
  4. Step 4: Simplify right side
    11.80x = 630.90
  5. Step 5: Solve for x
    x = 630.90/11.80
  6. Step 6: Final answer
    x = 53.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.