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Finding the Third Proportional to 361.38 and 509.69

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Solution

The third proportional to 361.38 and 509.69 is: 718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.38 : 509.69 = 509.69 : x
  2. Step 2: Convert to fraction form
    361.38/509.69 = 509.69/x
  3. Step 3: Cross multiply
    361.38x = 509.69 × 509.69
  4. Step 4: Simplify right side
    361.38x = 259,781.35
  5. Step 5: Solve for x
    x = 259,781.35/361.38
  6. Step 6: Final answer
    x = 718.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.