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Finding the Third Proportional to 30.84 and 76.92

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Solution

The third proportional to 30.84 and 76.92 is: 191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 76.92 = 76.92 : x
  2. Step 2: Convert to fraction form
    30.84/76.92 = 76.92/x
  3. Step 3: Cross multiply
    30.84x = 76.92 × 76.92
  4. Step 4: Simplify right side
    30.84x = 5,916.97
  5. Step 5: Solve for x
    x = 5,916.97/30.84
  6. Step 6: Final answer
    x = 191.84

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.