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Finding the Third Proportional to 11.58 and 25.08

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Solution

The third proportional to 11.58 and 25.08 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.58 : 25.08 = 25.08 : x
  2. Step 2: Convert to fraction form
    11.58/25.08 = 25.08/x
  3. Step 3: Cross multiply
    11.58x = 25.08 × 25.08
  4. Step 4: Simplify right side
    11.58x = 628.91
  5. Step 5: Solve for x
    x = 628.91/11.58
  6. Step 6: Final answer
    x = 54.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.