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Finding the Third Proportional to 361.92 and 705.84

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Solution

The third proportional to 361.92 and 705.84 is: 1,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 705.84 = 705.84 : x
  2. Step 2: Convert to fraction form
    361.92/705.84 = 705.84/x
  3. Step 3: Cross multiply
    361.92x = 705.84 × 705.84
  4. Step 4: Simplify right side
    361.92x = 498,215.40
  5. Step 5: Solve for x
    x = 498,215.40/361.92
  6. Step 6: Final answer
    x = 1,376.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.