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Finding the Third Proportional to 8.63 and 11.25

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Solution

The third proportional to 8.63 and 11.25 is: 14.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.63 : 11.25 = 11.25 : x
  2. Step 2: Convert to fraction form
    8.63/11.25 = 11.25/x
  3. Step 3: Cross multiply
    8.63x = 11.25 × 11.25
  4. Step 4: Simplify right side
    8.63x = 126.56
  5. Step 5: Solve for x
    x = 126.56/8.63
  6. Step 6: Final answer
    x = 14.67

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 (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.