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Finding the Third Proportional to 361.69 and 506.81

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Solution

The third proportional to 361.69 and 506.81 is: 710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.69 : 506.81 = 506.81 : x
  2. Step 2: Convert to fraction form
    361.69/506.81 = 506.81/x
  3. Step 3: Cross multiply
    361.69x = 506.81 × 506.81
  4. Step 4: Simplify right side
    361.69x = 256,858.91
  5. Step 5: Solve for x
    x = 256,858.91/361.69
  6. Step 6: Final answer
    x = 710.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.