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Finding the Third Proportional to 6.39 and 9.64

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Solution

The third proportional to 6.39 and 9.64 is: 14.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.39 : 9.64 = 9.64 : x
  2. Step 2: Convert to fraction form
    6.39/9.64 = 9.64/x
  3. Step 3: Cross multiply
    6.39x = 9.64 × 9.64
  4. Step 4: Simplify right side
    6.39x = 93.02
  5. Step 5: Solve for x
    x = 93.02/6.39
  6. Step 6: Final answer
    x = 14.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.