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Finding the Third Proportional to 11.57 and 23.75

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Solution

The third proportional to 11.57 and 23.75 is: 48.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 23.75 = 23.75 : x
  2. Step 2: Convert to fraction form
    11.57/23.75 = 23.75/x
  3. Step 3: Cross multiply
    11.57x = 23.75 × 23.75
  4. Step 4: Simplify right side
    11.57x = 563.87
  5. Step 5: Solve for x
    x = 563.87/11.57
  6. Step 6: Final answer
    x = 48.74

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.