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Finding the Third Proportional to 361.04 and 778.38

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Solution

The third proportional to 361.04 and 778.38 is: 1,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.04 : 778.38 = 778.38 : x
  2. Step 2: Convert to fraction form
    361.04/778.38 = 778.38/x
  3. Step 3: Cross multiply
    361.04x = 778.38 × 778.38
  4. Step 4: Simplify right side
    361.04x = 605,872.18
  5. Step 5: Solve for x
    x = 605,872.18/361.04
  6. Step 6: Final answer
    x = 1,678.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.