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Finding the Third Proportional to 6.46 and 8.68

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Solution

The third proportional to 6.46 and 8.68 is: 11.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.46 : 8.68 = 8.68 : x
  2. Step 2: Convert to fraction form
    6.46/8.68 = 8.68/x
  3. Step 3: Cross multiply
    6.46x = 8.68 × 8.68
  4. Step 4: Simplify right side
    6.46x = 75.43
  5. Step 5: Solve for x
    x = 75.43/6.46
  6. Step 6: Final answer
    x = 11.68

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