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Finding the Third Proportional to 10.24 and 13.14

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Solution

The third proportional to 10.24 and 13.14 is: 16.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 13.14 = 13.14 : x
  2. Step 2: Convert to fraction form
    10.24/13.14 = 13.14/x
  3. Step 3: Cross multiply
    10.24x = 13.14 × 13.14
  4. Step 4: Simplify right side
    10.24x = 172.62
  5. Step 5: Solve for x
    x = 172.62/10.24
  6. Step 6: Final answer
    x = 16.85

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.