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Finding the Third Proportional to 361.31 and 559.22

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Solution

The third proportional to 361.31 and 559.22 is: 865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.31 : 559.22 = 559.22 : x
  2. Step 2: Convert to fraction form
    361.31/559.22 = 559.22/x
  3. Step 3: Cross multiply
    361.31x = 559.22 × 559.22
  4. Step 4: Simplify right side
    361.31x = 312,725.61
  5. Step 5: Solve for x
    x = 312,725.61/361.31
  6. Step 6: Final answer
    x = 865.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.