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Finding the Third Proportional to 7.70 and 16.77

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Solution

The third proportional to 7.70 and 16.77 is: 36.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.70 : 16.77 = 16.77 : x
  2. Step 2: Convert to fraction form
    7.70/16.77 = 16.77/x
  3. Step 3: Cross multiply
    7.70x = 16.77 × 16.77
  4. Step 4: Simplify right side
    7.70x = 281.22
  5. Step 5: Solve for x
    x = 281.22/7.70
  6. Step 6: Final answer
    x = 36.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.