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Finding the Third Proportional to 11.50 and 25.53

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Solution

The third proportional to 11.50 and 25.53 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 25.53 = 25.53 : x
  2. Step 2: Convert to fraction form
    11.50/25.53 = 25.53/x
  3. Step 3: Cross multiply
    11.50x = 25.53 × 25.53
  4. Step 4: Simplify right side
    11.50x = 651.84
  5. Step 5: Solve for x
    x = 651.84/11.50
  6. Step 6: Final answer
    x = 56.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.