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Finding the Third Proportional to 155.14 and 323.05

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Solution

The third proportional to 155.14 and 323.05 is: 672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 323.05 = 323.05 : x
  2. Step 2: Convert to fraction form
    155.14/323.05 = 323.05/x
  3. Step 3: Cross multiply
    155.14x = 323.05 × 323.05
  4. Step 4: Simplify right side
    155.14x = 104,361.81
  5. Step 5: Solve for x
    x = 104,361.81/155.14
  6. Step 6: Final answer
    x = 672.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.