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Finding the Third Proportional to 6.84 and 9.75

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Solution

The third proportional to 6.84 and 9.75 is: 13.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.84 : 9.75 = 9.75 : x
  2. Step 2: Convert to fraction form
    6.84/9.75 = 9.75/x
  3. Step 3: Cross multiply
    6.84x = 9.75 × 9.75
  4. Step 4: Simplify right side
    6.84x = 95.06
  5. Step 5: Solve for x
    x = 95.06/6.84
  6. Step 6: Final answer
    x = 13.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.