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Finding the Third Proportional to 7.70 and 16.84

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Solution

The third proportional to 7.70 and 16.84 is: 36.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.70 : 16.84 = 16.84 : x
  2. Step 2: Convert to fraction form
    7.70/16.84 = 16.84/x
  3. Step 3: Cross multiply
    7.70x = 16.84 × 16.84
  4. Step 4: Simplify right side
    7.70x = 283.52
  5. Step 5: Solve for x
    x = 283.52/7.70
  6. Step 6: Final answer
    x = 36.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.