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Finding the Third Proportional to 19.45 and 24.94

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Solution

The third proportional to 19.45 and 24.94 is: 31.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.45 : 24.94 = 24.94 : x
  2. Step 2: Convert to fraction form
    19.45/24.94 = 24.94/x
  3. Step 3: Cross multiply
    19.45x = 24.94 × 24.94
  4. Step 4: Simplify right side
    19.45x = 622.14
  5. Step 5: Solve for x
    x = 622.14/19.45
  6. Step 6: Final answer
    x = 31.99

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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.