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Finding the Third Proportional to 18.77 and 38.67

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Solution

The third proportional to 18.77 and 38.67 is: 79.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.77 : 38.67 = 38.67 : x
  2. Step 2: Convert to fraction form
    18.77/38.67 = 38.67/x
  3. Step 3: Cross multiply
    18.77x = 38.67 × 38.67
  4. Step 4: Simplify right side
    18.77x = 1,495.51
  5. Step 5: Solve for x
    x = 1,495.51/18.77
  6. Step 6: Final answer
    x = 79.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.