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Finding the Third Proportional to 186.05 and 380.67

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Solution

The third proportional to 186.05 and 380.67 is: 778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 380.67 = 380.67 : x
  2. Step 2: Convert to fraction form
    186.05/380.67 = 380.67/x
  3. Step 3: Cross multiply
    186.05x = 380.67 × 380.67
  4. Step 4: Simplify right side
    186.05x = 144,911.08
  5. Step 5: Solve for x
    x = 144,911.08/186.05
  6. Step 6: Final answer
    x = 778.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.