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Finding the Third Proportional to 6.84 and 14.71

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Solution

The third proportional to 6.84 and 14.71 is: 31.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.84 : 14.71 = 14.71 : x
  2. Step 2: Convert to fraction form
    6.84/14.71 = 14.71/x
  3. Step 3: Cross multiply
    6.84x = 14.71 × 14.71
  4. Step 4: Simplify right side
    6.84x = 216.47
  5. Step 5: Solve for x
    x = 216.47/6.84
  6. Step 6: Final answer
    x = 31.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.