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Finding the Third Proportional to 12.86 and 24.97

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Solution

The third proportional to 12.86 and 24.97 is: 48.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.86 : 24.97 = 24.97 : x
  2. Step 2: Convert to fraction form
    12.86/24.97 = 24.97/x
  3. Step 3: Cross multiply
    12.86x = 24.97 × 24.97
  4. Step 4: Simplify right side
    12.86x = 623.44
  5. Step 5: Solve for x
    x = 623.44/12.86
  6. Step 6: Final answer
    x = 48.48

Related Problems

Find third proportional to 6.43 and 12.48
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.