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Finding the Third Proportional to 380.85 and 830.67

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Solution

The third proportional to 380.85 and 830.67 is: 1,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.85 : 830.67 = 830.67 : x
  2. Step 2: Convert to fraction form
    380.85/830.67 = 830.67/x
  3. Step 3: Cross multiply
    380.85x = 830.67 × 830.67
  4. Step 4: Simplify right side
    380.85x = 690,015.76
  5. Step 5: Solve for x
    x = 690,015.76/380.85
  6. Step 6: Final answer
    x = 1,811.79

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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.