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Finding the Third Proportional to 63.84 and 68.84

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Solution

The third proportional to 63.84 and 68.84 is: 74.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.84 : 68.84 = 68.84 : x
  2. Step 2: Convert to fraction form
    63.84/68.84 = 68.84/x
  3. Step 3: Cross multiply
    63.84x = 68.84 × 68.84
  4. Step 4: Simplify right side
    63.84x = 4,738.39
  5. Step 5: Solve for x
    x = 4,738.39/63.84
  6. Step 6: Final answer
    x = 74.22

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.