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Finding the Third Proportional to 293.81 and 620.67

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Solution

The third proportional to 293.81 and 620.67 is: 1,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.81 : 620.67 = 620.67 : x
  2. Step 2: Convert to fraction form
    293.81/620.67 = 620.67/x
  3. Step 3: Cross multiply
    293.81x = 620.67 × 620.67
  4. Step 4: Simplify right side
    293.81x = 385,233.58
  5. Step 5: Solve for x
    x = 385,233.58/293.81
  6. Step 6: Final answer
    x = 1,311.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.